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

language of modules, see also Glossary of module theory. For specific types of algebras, see also: Glossary of field theory and Glossary of Lie groups...

Appendix:Glossary of graph theory in Wiktionary, the free dictionary. This is a glossary of graph theory. Graph theory is the study of graphs, systems of nodes...

This is a glossary of representation theory in mathematics. The term "module" is often used synonymously for a representation; for the module-theoretic...

as vector spaces. For a glossary related to the generalization of vector spaces through modules, see glossary of module theory. Contents A B C D E F G...

defined above "unital left R-modules". In this article, consistent with the glossary of ring theory, all rings and modules are assumed to be unital. An...

algebraic geometry, glossary of algebraic geometry, glossary of ring theory and glossary of module theory. In this article, all rings are assumed to be commutative...

glossary of engineering terms is a list of definitions about the major concepts of engineering. Please see the bottom of the page for glossaries of specific...

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

Quotient module Direct sum, Direct product of modules Direct limit, Inverse limit Localization of a module Completion (ring theory) Types Simple module, Semisimple...

This page is a glossary of terms in invariant theory. For descriptions of particular invariant rings, see invariants of a binary form, symmetric polynomials...

glossary of tensor theory. For expositions of tensor theory from different points of view, see: Tensor Tensor (intrinsic definition) Application of tensor...

This is a glossary of properties and concepts in category theory in mathematics. (see also Outline of category theory.) Notes on foundations: In many...

the integers. Ring theory studies the structure of rings; their representations, or, in different language, modules; special classes of rings (group rings...

the generated submodule in a module. 2.  Often used, mainly in physics, for denoting an expected value. In probability theory, E ( X ) {\displaystyle E(X)}...

subdisciplines, and related fields. Related glossaries include Glossary of computer science, Glossary of robotics, and Glossary of machine vision. Contents:  A B C...

algebraic topology topics, glossary of category theory, glossary of differential geometry and topology, Timeline of manifolds. Convention: Throughout the...

used for a right module. Basic examples of modules are ideals, including the ring itself. Although similarly defined, the theory of modules is much more complicated...

a prime number. Module theory Molecular geometry Morse theory a part of differential topology, it analyzes the topological space of a manifold by studying...

product of modules is a construction that allows arguments about bilinear maps (e.g. multiplication) to be carried out in terms of linear maps. The module construction...

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

to representation theory: the same objects can be studied using methods from algebraic geometry, module theory, analytic number theory, differential geometry...

category theory Saunders Mac Lane Samuel Eilenberg Max Kelly William Lawvere André Joyal Mathematics portal Abstract nonsense Glossary of category theory...

This glossary of aerospace engineering terms pertains specifically to aerospace engineering, its sub-disciplines, and related fields including aviation...

Theory and Applications in Decision Making (Cham: Springer Nature Switzerland, 2020), p. 11. Auslander, M., & Buchsbaum, D., Groups, Rings, Modules (Mineola...

straightforward. In the representation theory of Lie algebras, modules over specific algebras are the principal objects of study, and there are several frameworks...

application of the techniques of algebraic geometry to problems in number theory. See also the glossary of number theory terms at Glossary of number theory. Contents: ...

(1965), Theory of Categories, Boston, MA: Academic Press Popescu, Nicolae (1973), Abelian categories with applications to rings and modules, Boston,...

of the detailed definitions in the theory of schemes, see the glossary of scheme theory. The origins of algebraic geometry mostly lie in the study of...

Conjectures of: Bloch Beilinson Deligne Bloch–Kato conjecture (see also List of conjectures). Galois module theory. Motivic cohomology. Ph.D. University of Cambridge...