artinian
31Module (mathematics) — For other uses, see Module (disambiguation). In abstract algebra, the concept of a module over a ring is a generalization of the notion of vector space, wherein the corresponding scalars are allowed to lie in an arbitrary ring. Modules also… …
32Composition series — In abstract algebra, a composition series provides a way to break up an algebraic structure, such as a group or a module, into simple pieces. The need for considering composition series in the context of modules arises from the fact that many… …
33List of abstract algebra topics — Abstract algebra is the subject area of mathematics that studies algebraic structures, such as groups, rings, fields, modules, vector spaces, and algebras. The phrase abstract algebra was coined at the turn of the 20th century to distinguish this …
34Artin–Wedderburn theorem — In abstract algebra, the Artin–Wedderburn theorem is a classification theorem for semisimple rings. The theorem states that a semisimple ring R is isomorphic to a product of ni by ni matrix rings over division rings Di , for some integers ni ,… …
35Simple ring — In abstract algebra, a simple ring is a non zero ring that has no ideal besides the zero ideal and itself. A simple ring can always be considered as a simple algebra.According to the Artin Wedderburn theorem, every simple ring that is left or… …
36Semiprimitive ring — In mathematics, especially in the area of algebra known as ring theory, a semiprimitive ring is a type of ring more general than a semisimple ring, but where simple modules still provide enough information about the ring. Important rings such as… …
37Primitive ring — In mathematics, especially in the area of abstract algebra known as ring theory, the concept of left primitive ring generalizes that of matrix algebra. Every matrix ring is the endomorphism ring of a finite dimensional vector space, but a… …
38Cohen–Macaulay ring — In mathematics, a Cohen–Macaulay ring is a particular type of commutative ring, possessing some of the algebraic geometric properties of a nonsingular variety, such as local equidimensionality. They are named for Francis Sowerby Macaulay, who… …
39List of eponymous adjectives in English — An eponymous adjective is an adjective which has been derived from the name of a person, real or fictional. Persons from whose name the adjectives have been derived are called eponyms.Following is a list of eponymous adjectives in English. A… …
40Hamazkayin — Logo Hamazkayin (Armenian: Համազգային), short for Hamazkayin Armenian Educational and Cultural Society, is a major cultural organization of the Armenian Diaspora, with a presence in every significant Armenian community worldwide. In addition to… …
