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Irving Kaplansky

Index Irving Kaplansky

Irving Kaplansky (March 22, 1917 – June 25, 2006) was a mathematician, college professor, author, and musician. [1]

72 relations: Absolute pitch, Academic genealogy, Alex F. T. W. Rosenberg, American Academy of Arts and Sciences, American Mathematical Society, Applied Mathematics Panel, Author, Benjamin Peirce, Calliope (music), Carl Pearcy, Columbia University, David J. Foulis, Doctor of Philosophy, Doctoral advisor, Donald Samuel Ornstein, Eben Matlis, Ed Posner, Elon Lages Lima, Field (mathematics), Game theory, Günter Lumer, Gilbert and Sullivan, Google Scholar, Group theory, Guggenheim Fellowship, Harbord Collegiate Institute, Harold Widom, Harvard University, Hilbert space, History of the Jews in Poland, Homological algebra, Hyman Bass, Irvin Cohen, Jacob Matijevic, Jeffery–Williams Prize, Joseph J. Rotman, Judith D. Sally, Kaplansky density theorem, Kaplansky's conjecture, Kaplansky's game, Kaplansky's theorem on quadratic forms, Leroy P. Steele Prize, London Mathematical Society, Los Angeles, Lucy Kaplansky, Mathematical Association of America, Mathematical Sciences Research Institute, Mathematician, Mathematics, Musician, ..., National Academy of Sciences, Notices of the American Mathematical Society, Ontario, Operator algebra, Paul Halmos, PDF, Pi, Professor, Richard Friederich Arens, Ring theory, Saunders Mac Lane, Susanna S. Epp, The New York Times, Tom Lehrer, Topological algebra, Toronto, University of California, Berkeley, University of Chicago, University of Chicago Press, University of Toronto, William Lowell Putnam Mathematical Competition, World War II. Expand index (22 more) »

Absolute pitch

Absolute pitch (AP), widely referred to as perfect pitch, is a rare auditory phenomenon characterized by the ability of a person to identify or re-create a given musical note without the benefit of a reference tone.

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Academic genealogy

An academic, or scientific, genealogy, organizes a family tree of scientists and scholars according to mentoring relationships, often in the form of dissertation supervision relationships.

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Alex F. T. W. Rosenberg

Alex F. T. W. Rosenberg (1926–2007) was a German-American mathematician who served as the editor of the Proceedings of the American Mathematical Society from 1960 to 1965, and of the American Mathematical Monthly from 1974 to 1976.

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American Academy of Arts and Sciences

The American Academy of Arts and Sciences is one of the oldest learned societies in the United States of America.

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American Mathematical Society

The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, advocacy and other programs.

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Applied Mathematics Panel

The Applied Mathematics Panel (AMP) was created at the end of 1942 as a division of the National Defense Research Committee (NDRC) within the Office of Scientific Research and Development (OSRD) in order to solve mathematical problems related to the military effort in World War II, particularly those of the other NDRC divisions.

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Author

An author is the creator or originator of any written work such as a book or play, and is thus also a writer.

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Benjamin Peirce

Benjamin Peirce FRSFor HFRSE April 4, 1809 – October 6, 1880) was an American mathematician who taught at Harvard University for approximately 50 years. He made contributions to celestial mechanics, statistics, number theory, algebra, and the philosophy of mathematics.

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Calliope (music)

A calliope (see below for pronunciation) is a musical instrument that produces sound by sending a gas, originally steam or more recently compressed air, through large whistles—originally locomotive whistles.

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Carl Pearcy

Carl Pearcy is an American mathematician whose research has been concentrated on operator theory and operator algebras.

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Columbia University

Columbia University (Columbia; officially Columbia University in the City of New York), established in 1754, is a private Ivy League research university in Upper Manhattan, New York City.

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David J. Foulis

David James Foulis (July 26, 1930- April 3, 2018) was an American mathematician known for his research on the algebraic foundations of quantum mechanics.

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Doctor of Philosophy

A Doctor of Philosophy (PhD or Ph.D.; Latin Philosophiae doctor) is the highest academic degree awarded by universities in most countries.

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Doctoral advisor

A doctoral advisor (also dissertation director or dissertation advisor) is a member of a university faculty whose role is to guide graduate students who are candidates for a doctorate, helping them select coursework, as well as shaping, refining and directing the students' choice of sub-discipline in which they will be examined or on which they will write a dissertation.

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Donald Samuel Ornstein

Donald Samuel Ornstein (born July 30, 1934, New York) is an American mathematician working in the area of ergodic theory.

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Eben Matlis

Eben Matlis (born 1923) is a mathematician known for his contributions to the theory of rings and modules, especially for his work with injective modules over commutative Noetherian rings, and his introduction of Matlis duality.

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Ed Posner

Edward Charles "Ed" Posner (August 10, 1933 – June 15, 1993) was an American information theorist and neural network researcher who became chief technologist at the Jet Propulsion Laboratory and founded the Conference on Neural Information Processing Systems.

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Elon Lages Lima

Elon Lages Lima (July 9, 1929 – May 7, 2017) was a Brazilian mathematician whose research concerned differential topology, algebraic topology, and differential geometry.

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Field (mathematics)

In mathematics, a field is a set on which addition, subtraction, multiplication, and division are defined, and behave as when they are applied to rational and real numbers.

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Game theory

Game theory is "the study of mathematical models of conflict and cooperation between intelligent rational decision-makers".

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Günter Lumer

Günter Lumer (1929–2005) was a mathematician known for his work in functional analysis.

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Gilbert and Sullivan

Gilbert and Sullivan refers to the Victorian-era theatrical partnership of the dramatist W. S. Gilbert (1836–1911) and the composer Arthur Sullivan (1842–1900) and to the works they jointly created.

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Google Scholar

Google Scholar is a freely accessible web search engine that indexes the full text or metadata of scholarly literature across an array of publishing formats and disciplines.

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Group theory

In mathematics and abstract algebra, group theory studies the algebraic structures known as groups.

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Guggenheim Fellowship

Guggenheim Fellowships are grants that have been awarded annually since 1925 by the John Simon Guggenheim Memorial Foundation to those "who have demonstrated exceptional capacity for productive scholarship or exceptional creative ability in the arts".

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Harbord Collegiate Institute

Harbord Collegiate Institute (H.C.I. or Harbord) is a public secondary school located in downtown Toronto, Ontario, Canada.

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Harold Widom

Harold Widom (born 1932) is an American mathematician best known for his contributions to operator theory and random matrices.

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Harvard University

Harvard University is a private Ivy League research university in Cambridge, Massachusetts.

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Hilbert space

The mathematical concept of a Hilbert space, named after David Hilbert, generalizes the notion of Euclidean space.

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History of the Jews in Poland

The history of the Jews in Poland dates back over 1,000 years.

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Homological algebra

Homological algebra is the branch of mathematics that studies homology in a general algebraic setting.

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Hyman Bass

Hyman Bass (born October 5, 1932) MacTutor History of Mathematics archive.

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Irvin Cohen

Irvin Sol Cohen (1917 – February 14, 1955) was an American mathematician at M.I.T. who worked on local rings.

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Jacob Matijevic

Jacob (Richard) Matijevic, also known as "Jake" Matijevic, (3 November 1947 – 20 August 2012) was an American NASA engineer of Croatian origin who worked on Mars Exploration Rovers.

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Jeffery–Williams Prize

The Jeffery–Williams Prize is a mathematics award presented annually by the Canadian Mathematical Society.

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Joseph J. Rotman

Joseph J. Rotman (May 26, 1934 – October 16, 2016) was a Professor of Mathematics at the University of Illinois Urbana-Champaign and also a published author of 10 textbooks.

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Judith D. Sally

Judith D. Sally (born March 23, 1937) is a Professor Emeritus of Mathematics at Northwestern University.

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Kaplansky density theorem

In the theory of von Neumann algebras, the Kaplansky density theorem, due to Irving Kaplansky, is a fundamental approximation theorem.

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Kaplansky's conjecture

The mathematician Irving Kaplansky is notable for proposing numerous conjectures in several branches of mathematics, including a list of ten conjectures on Hopf algebras.

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Kaplansky's game

Kaplansky's game or Kaplansky's n-in-a-line is an abstract board game in which two players take turns in placing a stone of their color on an infinite lattice board, the winner being the player who first gets n stones of their own color on a line which does not have any stones of the opposite color on it.

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Kaplansky's theorem on quadratic forms

In mathematics, Kaplansky's theorem on quadratic forms is a result on simultaneous representation of primes by quadratic forms.

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Leroy P. Steele Prize

The Leroy P. Steele Prizes are awarded every year by the American Mathematical Society, for distinguished research work and writing in the field of mathematics.

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London Mathematical Society

The London Mathematical Society (LMS) is one of the United Kingdom's learned societies for mathematics (the others being the Royal Statistical Society (RSS) and the Institute of Mathematics and its Applications (IMA)).

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Los Angeles

Los Angeles (Spanish for "The Angels";; officially: the City of Los Angeles; colloquially: by its initials L.A.) is the second-most populous city in the United States, after New York City.

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Lucy Kaplansky

Lucy Kaplansky (born February 16, 1960) is an American folk musician based in New York City.

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Mathematical Association of America

The Mathematical Association of America (MAA) is a professional society that focuses on mathematics accessible at the undergraduate level.

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Mathematical Sciences Research Institute

The Mathematical Sciences Research Institute (MSRI) is an independent nonprofit mathematical research institution in Berkeley, California.

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Mathematician

A mathematician is someone who uses an extensive knowledge of mathematics in his or her work, typically to solve mathematical problems.

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Mathematics

Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.

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Musician

A musician is a person who plays a musical instrument or is musically talented.

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National Academy of Sciences

The National Academy of Sciences (NAS) is a United States nonprofit, non-governmental organization.

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Notices of the American Mathematical Society

Notices of the American Mathematical Society is the membership journal of the American Mathematical Society (AMS), published monthly except for the combined June/July issue.

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Ontario

Ontario is one of the 13 provinces and territories of Canada and is located in east-central Canada.

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Operator algebra

In functional analysis, an operator algebra is an algebra of continuous linear operators on a topological vector space with the multiplication given by the composition of mappings.

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Paul Halmos

Paul Richard Halmos (Halmos Pál; March 3, 1916 – October 2, 2006) was a Hungarian-Jewish-born American mathematician who made fundamental advances in the areas of mathematical logic, probability theory, statistics, operator theory, ergodic theory, and functional analysis (in particular, Hilbert spaces).

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PDF

The Portable Document Format (PDF) is a file format developed in the 1990s to present documents, including text formatting and images, in a manner independent of application software, hardware, and operating systems.

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Pi

The number is a mathematical constant.

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Professor

Professor (commonly abbreviated as Prof.) is an academic rank at universities and other post-secondary education and research institutions in most countries.

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Richard Friederich Arens

Richard Friederich Arens (24 April 1919 – 3 May 2000) was an American mathematician.

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Ring theory

In algebra, ring theory is the study of rings—algebraic structures in which addition and multiplication are defined and have similar properties to those operations defined for the integers.

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Saunders Mac Lane

Saunders Mac Lane (4 August 1909 – 14 April 2005) was an American mathematician who co-founded category theory with Samuel Eilenberg.

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Susanna S. Epp

Susanna Samuels Epp is an author, mathematician, and professor.

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The New York Times

The New York Times (sometimes abbreviated as The NYT or The Times) is an American newspaper based in New York City with worldwide influence and readership.

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Tom Lehrer

Thomas Andrew Lehrer (born April 9, 1928) is a retired American musician, singer-songwriter, satirist, and mathematician.

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Topological algebra

In mathematics, a topological algebra A is an algebra and at the same time a topological space, where the algebraic and the topological structures are coherent in a specified sense.

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Toronto

Toronto is the capital city of the province of Ontario and the largest city in Canada by population, with 2,731,571 residents in 2016.

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University of California, Berkeley

The University of California, Berkeley (UC Berkeley, Berkeley, Cal, or California) is a public research university in Berkeley, California.

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University of Chicago

The University of Chicago (UChicago, U of C, or Chicago) is a private, non-profit research university in Chicago, Illinois.

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University of Chicago Press

The University of Chicago Press is the largest and one of the oldest university presses in the United States.

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University of Toronto

The University of Toronto (U of T, UToronto, or Toronto) is a public research university in Toronto, Ontario, Canada on the grounds that surround Queen's Park.

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William Lowell Putnam Mathematical Competition

The William Lowell Putnam Mathematical Competition, often abbreviated to Putnam Competition, is an annual mathematics competition for undergraduate college students enrolled at institutions of higher learning in the United States and Canada (regardless of the students' nationalities).

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World War II

World War II (often abbreviated to WWII or WW2), also known as the Second World War, was a global war that lasted from 1939 to 1945, although conflicts reflecting the ideological clash between what would become the Allied and Axis blocs began earlier.

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References

[1] https://en.wikipedia.org/wiki/Irving_Kaplansky

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