artinian
51Ring (mathematics) — This article is about algebraic structures. For geometric rings, see Annulus (mathematics). For the set theory concept, see Ring of sets. Polynomials, represented here by curves, form a ring under addition and multiplication. In mathematics, a… …
52Krull dimension — In commutative algebra, the Krull dimension of a ring R, named after Wolfgang Krull (1899–1971), is the supremum of the number of strict inclusions in a chain of prime ideals. The Krull dimension need not be finite even for a Noetherian ring. A… …
53Algebraic structure — In algebra, a branch of pure mathematics, an algebraic structure consists of one or more sets closed under one or more operations, satisfying some axioms. Abstract algebra is primarily the study of algebraic structures and their properties. The… …
54Emmy Noether — Amalie Emmy Noether Born 23 March 1882(1882 03 23) …
55Noetherian — In mathematics, the adjective Noetherian is used to describe objects that satisfy an ascending or descending chain condition on certain kinds of subobjects; in particular, Noetherian group, a group that satisfies the ascending chain condition on… …
56Emil Artin — Infobox Scientist name=Emil Artin birth date = March 3, 1898 birth place = Vienna death date = December 20, 1962 field = MathematicsEmil Artin (March 3, 1898, in Vienna – December 20, 1962, in Hamburg) was an Austrian mathematician. His father,… …
57Glossary of group theory — A group ( G , •) is a set G closed under a binary operation • satisfying the following 3 axioms:* Associativity : For all a , b and c in G , ( a • b ) • c = a • ( b • c ). * Identity element : There exists an e ∈ G such that for all a in G , e •… …
58Bard College — Infobox University name =Bard College motto =Dabo tibi coronam vitae ( I shall give thee the crown of life ) established =1860 type =Private, liberal arts college endowment =US$180 million staff = alumni = faculty =224 president =Leon Botstein… …
59List of order topics — This is a list of order topics, by Wikipedia page.An alphabetical list of many notions of order theory can be found in the order theory glossary. See also inequality, extreme value, optimization (mathematics), domain theory.Basic… …
60Projective module — In mathematics, particularly in abstract algebra and homological algebra, the concept of projective module over a ring R is a more flexible generalisation of the idea of a free module (that is, a module with basis vectors). Various equivalent… …
