is a glossary of commutative algebra. See also list of algebraic geometry topics, glossary of classical algebraic geometry, glossary of algebraic geometry...

Commutative algebra, first known as ideal theory, is the branch of algebra that studies commutative rings, their ideals, and modules over such rings....

of some terms of the subject. For the items in commutative algebra (the theory of commutative rings), see Glossary of commutative algebra. For ring-theoretic...

This is a glossary of algebraic geometry. See also glossary of commutative algebra, glossary of classical algebraic geometry, and glossary of ring theory...

Appendix:Glossary of abstract algebra in Wiktionary, the free dictionary. Abstract algebra is the subject area of mathematics that studies algebraic structures...

commutative (that is, its multiplication is a commutative operation) has profound implications on its properties. Commutative algebra, the theory of commutative...

representation theory of groups. They are also one of the central notions of commutative algebra and homological algebra, and are used widely in algebraic geometry...

In mathematics, more specifically algebra, abstract algebra or modern algebra is the study of algebraic structures, which are sets with specific operations...

groups. Algebraic number theory The part of number theory devoted to the use of algebraic methods, mainly those of commutative algebra, for the study of number...

In mathematics, an abelian group, also called a commutative group, is a group in which the result of applying the group operation to two group elements...

glossary of properties and concepts in algebraic topology in mathematics. See also: glossary of topology, list of algebraic topology topics, glossary...

Commutative algebra – Branch of algebra that studies commutative rings Composition algebra – Type of algebras, possibly non associative Computer algebra – Scientific...

of a non-singular projective surface. Glossary of algebraic geometry Glossary of arithmetic and Diophantine geometry Glossary of commutative algebra Glossary...

Lie bracket measures the failure of commutativity for the Lie group.) Conversely, to any finite-dimensional Lie algebra over the real or complex numbers...

commutative algebras, especially those arising in Lie theory. Subjects include: Quantum groups Skein theories Operadic algebra Diagrammatic algebra Quantum...

of scalars may be any field. More generally, the exterior algebra can be defined for modules over a commutative ring. In particular, the algebra of differential...

examples of commutative rings, have driven much of the development of commutative ring theory, which is now, under the name of commutative algebra, a major...

is said that commutative diagrams play the role in category theory that equations play in algebra. A commutative diagram often consists of three parts:...

more generally be defined over commutative rings). Yet another definition of the concept is to say that an algebraic group over k {\displaystyle k} is...

exterior algebra, the symmetric algebra, the Clifford algebra, the Weyl algebra, and the universal enveloping algebra in general. The exterior algebra is constructed...

the two given morphisms to a commutative square. The dual concept of the pullback is the pushout. Explicitly, a pullback of the morphisms f {\displaystyle...

Combinatorial topology Glossary of algebraic topology topology glossary List of topology topics List of general topology topics List of geometric topology...

the definitions of "regular" and "zero divisor" given earlier in this article. Zero-product property Glossary of commutative algebra (Exact zero divisor)...

century, algebra consisted essentially of the theory of equations. For example, the fundamental theorem of algebra belongs to the theory of equations...

straightforward manner to the tensor algebra of any module M over a commutative ring. If R is a non-commutative ring, one can still perform the construction...

branch of mathematics in which modules are studied. This is a glossary of some terms of the subject. See also: Glossary of linear algebra, Glossary of ring...

Algebraic geometry is a branch of mathematics which uses abstract algebraic techniques, mainly from commutative algebra, to solve geometrical problems...

invariance. Other formulations of the vertex algebra axioms include Borcherds's later work on singular commutative rings, algebras over certain operads on curves...

In algebra, the kernel of a homomorphism (function that preserves the structure) is generally the inverse image of 0 (except for groups whose operation...

the property that for every commutative k-algebra R, G(R) is a subgroup of the abstract group GL(n,R). (Thus an algebraic group G over k is not just the...