Bilinear form and Cohomology

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Bilinear form and Cohomology

Bilinear form vs. Cohomology

In mathematics, more specifically in abstract algebra and linear algebra, a bilinear form on a vector space V is a bilinear map, where K is the field of scalars. In mathematics, specifically in homology theory and algebraic topology, cohomology is a general term for a sequence of abelian groups associated to a topological space, often defined from a cochain complex.

Abstract algebra

In algebra, which is a broad division of mathematics, abstract algebra (occasionally called modern algebra) is the study of algebraic structures.

Abstract algebra and Bilinear form · Abstract algebra and Cohomology · See more »

Bilinear map

In mathematics, a bilinear map is a function combining elements of two vector spaces to yield an element of a third vector space, and is linear in each of its arguments.

Bilinear form and Bilinear map · Bilinear map and Cohomology · See more »

Cambridge University Press

Cambridge University Press (CUP) is the publishing business of the University of Cambridge.

Bilinear form and Cambridge University Press · Cambridge University Press and Cohomology · See more »

Dual space

In mathematics, any vector space V has a corresponding dual vector space (or just dual space for short) consisting of all linear functionals on V, together with the vector space structure of pointwise addition and scalar multiplication by constants.

Bilinear form and Dual space · Cohomology and Dual space · See more »

Exterior algebra

In mathematics, the exterior product or wedge product of vectors is an algebraic construction used in geometry to study areas, volumes, and their higher-dimensional analogs.

Bilinear form and Exterior algebra · Cohomology and Exterior algebra · See more »

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.

Bilinear form and Field (mathematics) · Cohomology and Field (mathematics) · See more »

Mathematics

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

Bilinear form and Mathematics · Cohomology and Mathematics · See more »

Module (mathematics)

In mathematics, a module is one of the fundamental algebraic structures used in abstract algebra.

Bilinear form and Module (mathematics) · Cohomology and Module (mathematics) · See more »

Ring (mathematics)

In mathematics, a ring is one of the fundamental algebraic structures used in abstract algebra.

Bilinear form and Ring (mathematics) · Cohomology and Ring (mathematics) · See more »

Springer Science+Business Media

Springer Science+Business Media or Springer, part of Springer Nature since 2015, is a global publishing company that publishes books, e-books and peer-reviewed journals in science, humanities, technical and medical (STM) publishing.

Bilinear form and Springer Science+Business Media · Cohomology and Springer Science+Business Media · See more »

Vector space

A vector space (also called a linear space) is a collection of objects called vectors, which may be added together and multiplied ("scaled") by numbers, called scalars.

Bilinear form and Vector space · Cohomology and Vector space · See more »