Faster access than browser!Similarities between Cohomology and Commutative ring
Cohomology and Commutative ring have 35 things in common (in Unionpedia): Abelian group, Abstract algebra, Algebraic geometry, Algebraic K-theory, Cambridge University Press, Category (mathematics), Cohomology ring, Compact space, Continuous function, Derived functor, Differential form, Direct sum, Ext functor, Exterior algebra, Field (mathematics), Finitely generated module, Free module, Graded ring, Graded-commutative ring, Highly structured ring spectrum, Holomorphic function, Homological algebra, Ideal (ring theory), Integer, Manifold, Module (mathematics), Polynomial ring, Real number, Ring (mathematics), Sheaf (mathematics), ..., Springer Science+Business Media, Tensor product of algebras, Topological space, University of Chicago Press, Vector bundle. Expand index (5 more) »
Abelian group
In abstract algebra, an abelian group, also called a commutative group, is a group in which the result of applying the group operation to two group elements does not depend on the order in which they are written.
Abelian group and Cohomology · Abelian group and Commutative ring ·
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 Cohomology · Abstract algebra and Commutative ring ·
Algebraic geometry
Algebraic geometry is a branch of mathematics, classically studying zeros of multivariate polynomials.
Algebraic geometry and Cohomology · Algebraic geometry and Commutative ring ·
Algebraic K-theory
Algebraic K-theory is a subject area in mathematics with connections to geometry, topology, ring theory, and number theory.
Algebraic K-theory and Cohomology · Algebraic K-theory and Commutative ring ·
Cambridge University Press
Cambridge University Press (CUP) is the publishing business of the University of Cambridge.
Cambridge University Press and Cohomology · Cambridge University Press and Commutative ring ·
Category (mathematics)
In mathematics, a category (sometimes called an abstract category to distinguish it from a concrete category) is an algebraic structure similar to a group but without requiring inverse or closure properties.
Category (mathematics) and Cohomology · Category (mathematics) and Commutative ring ·
Cohomology ring
In mathematics, specifically algebraic topology, the cohomology ring of a topological space X is a ring formed from the cohomology groups of X together with the cup product serving as the ring multiplication.
Cohomology and Cohomology ring · Cohomology ring and Commutative ring ·
Compact space
In mathematics, and more specifically in general topology, compactness is a property that generalizes the notion of a subset of Euclidean space being closed (that is, containing all its limit points) and bounded (that is, having all its points lie within some fixed distance of each other).
Cohomology and Compact space · Commutative ring and Compact space ·
Continuous function
In mathematics, a continuous function is a function for which sufficiently small changes in the input result in arbitrarily small changes in the output.
Cohomology and Continuous function · Commutative ring and Continuous function ·
Derived functor
In mathematics, certain functors may be derived to obtain other functors closely related to the original ones.
Cohomology and Derived functor · Commutative ring and Derived functor ·
Differential form
In the mathematical fields of differential geometry and tensor calculus, differential forms are an approach to multivariable calculus that is independent of coordinates.
Cohomology and Differential form · Commutative ring and Differential form ·
Direct sum
The direct sum is an operation from abstract algebra, a branch of mathematics.
Cohomology and Direct sum · Commutative ring and Direct sum ·
Ext functor
In mathematics, the Ext functors of homological algebra are derived functors of Hom functors.
Cohomology and Ext functor · Commutative ring and Ext functor ·
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.
Cohomology and Exterior algebra · Commutative ring and Exterior algebra ·
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.
Cohomology and Field (mathematics) · Commutative ring and Field (mathematics) ·
Finitely generated module
In mathematics, a finitely generated module is a module that has a finite generating set.
Cohomology and Finitely generated module · Commutative ring and Finitely generated module ·
Free module
In mathematics, a free module is a module that has a basis – that is, a generating set consisting of linearly independent elements.
Cohomology and Free module · Commutative ring and Free module ·
Graded ring
In mathematics, in particular abstract algebra, a graded ring is a ring that is a direct sum of abelian groups R_i such that R_i R_j \subseteq R_.
Cohomology and Graded ring · Commutative ring and Graded ring ·
Graded-commutative ring
In algebra, a graded-commutative ring (also called a skew-commutative ring) is a graded ring that is commutative in the graded sense; that is, homogeneous elements x, y satisfy where |x|, |y| denote the degrees of x, y. A commutative (non-graded) ring, with trivial grading, is a basic example.
Cohomology and Graded-commutative ring · Commutative ring and Graded-commutative ring ·
Highly structured ring spectrum
In mathematics, a highly structured ring spectrum or A_\infty-ring is an object in homotopy theory encoding a refinement of a multiplicative structure on a cohomology theory.
Cohomology and Highly structured ring spectrum · Commutative ring and Highly structured ring spectrum ·
Holomorphic function
In mathematics, a holomorphic function is a complex-valued function of one or more complex variables that is complex differentiable in a neighborhood of every point in its domain.
Cohomology and Holomorphic function · Commutative ring and Holomorphic function ·
Homological algebra
Homological algebra is the branch of mathematics that studies homology in a general algebraic setting.
Cohomology and Homological algebra · Commutative ring and Homological algebra ·
Ideal (ring theory)
In ring theory, a branch of abstract algebra, an ideal is a special subset of a ring.
Cohomology and Ideal (ring theory) · Commutative ring and Ideal (ring theory) ·
Integer
An integer (from the Latin ''integer'' meaning "whole")Integer 's first literal meaning in Latin is "untouched", from in ("not") plus tangere ("to touch").
Cohomology and Integer · Commutative ring and Integer ·
Manifold
In mathematics, a manifold is a topological space that locally resembles Euclidean space near each point.
Cohomology and Manifold · Commutative ring and Manifold ·
Module (mathematics)
In mathematics, a module is one of the fundamental algebraic structures used in abstract algebra.
Cohomology and Module (mathematics) · Commutative ring and Module (mathematics) ·
Polynomial ring
In mathematics, especially in the field of abstract algebra, a polynomial ring or polynomial algebra is a ring (which is also a commutative algebra) formed from the set of polynomials in one or more indeterminates (traditionally also called variables) with coefficients in another ring, often a field.
Cohomology and Polynomial ring · Commutative ring and Polynomial ring ·
Real number
In mathematics, a real number is a value of a continuous quantity that can represent a distance along a line.
Cohomology and Real number · Commutative ring and Real number ·
Ring (mathematics)
In mathematics, a ring is one of the fundamental algebraic structures used in abstract algebra.
Cohomology and Ring (mathematics) · Commutative ring and Ring (mathematics) ·
Sheaf (mathematics)
In mathematics, a sheaf is a tool for systematically tracking locally defined data attached to the open sets of a topological space.
Cohomology and Sheaf (mathematics) · Commutative ring and Sheaf (mathematics) ·
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.
Cohomology and Springer Science+Business Media · Commutative ring and Springer Science+Business Media ·
Tensor product of algebras
In mathematics, the tensor product of two algebras over a commutative ring R is also an R-algebra.
Cohomology and Tensor product of algebras · Commutative ring and Tensor product of algebras ·
Topological space
In topology and related branches of mathematics, a topological space may be defined as a set of points, along with a set of neighbourhoods for each point, satisfying a set of axioms relating points and neighbourhoods.
Cohomology and Topological space · Commutative ring and Topological space ·
University of Chicago Press
The University of Chicago Press is the largest and one of the oldest university presses in the United States.
Cohomology and University of Chicago Press · Commutative ring and University of Chicago Press ·
Vector bundle
In mathematics, a vector bundle is a topological construction that makes precise the idea of a family of vector spaces parameterized by another space X (for example X could be a topological space, a manifold, or an algebraic variety): to every point x of the space X we associate (or "attach") a vector space V(x) in such a way that these vector spaces fit together to form another space of the same kind as X (e.g. a topological space, manifold, or algebraic variety), which is then called a vector bundle over X.
Cohomology and Vector bundle · Commutative ring and Vector bundle ·
The list above answers the following questions
- What Cohomology and Commutative ring have in common
- What are the similarities between Cohomology and Commutative ring
Cohomology and Commutative ring Comparison
Cohomology has 186 relations, while Commutative ring has 186. As they have in common 35, the Jaccard index is 9.41% = 35 / (186 + 186).
References
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