Similarities between Cohomology and Free abelian group
Cohomology and Free abelian group have 18 things in common (in Unionpedia): Abelian group, Abstract algebra, Algebraic geometry, Algebraic topology, Chain (algebraic topology), Chain complex, Direct sum, Exact sequence, Finitely generated module, Free module, Homology (mathematics), Integer, Manifold, Module (mathematics), Simplicial complex, Singular homology, Solomon Lefschetz, Vector space.
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 Free abelian group ·
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 Free abelian group ·
Algebraic geometry
Algebraic geometry is a branch of mathematics, classically studying zeros of multivariate polynomials.
Algebraic geometry and Cohomology · Algebraic geometry and Free abelian group ·
Algebraic topology
Algebraic topology is a branch of mathematics that uses tools from abstract algebra to study topological spaces.
Algebraic topology and Cohomology · Algebraic topology and Free abelian group ·
Chain (algebraic topology)
In algebraic topology, a -chain is a formal linear combination of the -cells in a cell complex.
Chain (algebraic topology) and Cohomology · Chain (algebraic topology) and Free abelian group ·
Chain complex
In mathematics, a chain complex is an algebraic structure that consists of a sequence of abelian groups (or modules) and a sequence of homomorphisms between consecutive groups such that the image of each homomorphism is included in the kernel of the next.
Chain complex and Cohomology · Chain complex and Free abelian group ·
Direct sum
The direct sum is an operation from abstract algebra, a branch of mathematics.
Cohomology and Direct sum · Direct sum and Free abelian group ·
Exact sequence
An exact sequence is a concept in mathematics, especially in group theory, ring and module theory, homological algebra, as well as in differential geometry.
Cohomology and Exact sequence · Exact sequence and Free abelian group ·
Finitely generated module
In mathematics, a finitely generated module is a module that has a finite generating set.
Cohomology and Finitely generated module · Finitely generated module and Free abelian group ·
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 · Free abelian group and Free module ·
Homology (mathematics)
In mathematics, homology is a general way of associating a sequence of algebraic objects such as abelian groups or modules to other mathematical objects such as topological spaces.
Cohomology and Homology (mathematics) · Free abelian group and Homology (mathematics) ·
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 · Free abelian group and Integer ·
Manifold
In mathematics, a manifold is a topological space that locally resembles Euclidean space near each point.
Cohomology and Manifold · Free abelian group and Manifold ·
Module (mathematics)
In mathematics, a module is one of the fundamental algebraic structures used in abstract algebra.
Cohomology and Module (mathematics) · Free abelian group and Module (mathematics) ·
Simplicial complex
In mathematics, a simplicial complex is a set composed of points, line segments, triangles, and their ''n''-dimensional counterparts (see illustration).
Cohomology and Simplicial complex · Free abelian group and Simplicial complex ·
Singular homology
In algebraic topology, a branch of mathematics, singular homology refers to the study of a certain set of algebraic invariants of a topological space X, the so-called homology groups H_n(X).
Cohomology and Singular homology · Free abelian group and Singular homology ·
Solomon Lefschetz
Solomon Lefschetz (Соломо́н Ле́фшец; 3 September 1884 – 5 October 1972) was an American mathematician who did fundamental work on algebraic topology, its applications to algebraic geometry, and the theory of non-linear ordinary differential equations.
Cohomology and Solomon Lefschetz · Free abelian group and Solomon Lefschetz ·
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.
Cohomology and Vector space · Free abelian group and Vector space ·
The list above answers the following questions
- What Cohomology and Free abelian group have in common
- What are the similarities between Cohomology and Free abelian group
Cohomology and Free abelian group Comparison
Cohomology has 186 relations, while Free abelian group has 95. As they have in common 18, the Jaccard index is 6.41% = 18 / (186 + 95).
References
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