noncommutative rings, where the left annihilator of a left module is a left ideal, and the right-annihilator, of a right module is a right ideal. Let R be a ring, and...
13 KB (2,160 words) - 20:22, 18 October 2024
annihilator in Wiktionary, the free dictionary. Annihilator(s) may refer to: Annihilator (ring theory) Annihilator (linear algebra), the annihilator of...
1 KB (162 words) - 01:27, 24 September 2024
rings Dual numbers Tensor product of fields Tensor product of R-algebras Quotient ring Field of fractions Product of rings Annihilator (ring theory)...
4 KB (301 words) - 17:28, 20 December 2023
In mathematics, and more specifically in ring theory, an ideal of a ring is a special subset of its elements. Ideals generalize certain subsets of the...
37 KB (6,347 words) - 13:52, 10 September 2024
In algebra, ring theory is the study of rings, algebraic structures in which addition and multiplication are defined and have similar properties to those...
24 KB (3,093 words) - 04:03, 3 October 2024
Absorbing element (redirect from Annihilating element)
reach any point Annihilator (disambiguation) Annihilator (ring theory) – Ideal that maps to zero a subset of a module Idempotent (ring theory) – In mathematics...
5 KB (586 words) - 15:45, 5 July 2024
Module (mathematics) (redirect from Module (ring theory))
(ring theory) Module (model theory) Module spectrum Annihilator Hungerford (1974) Algebra, Springer, p 169: "Modules over a ring are a generalization of abelian...
22 KB (2,966 words) - 06:20, 18 October 2024
algebras, using axioms about annihilators of various sets. Any von Neumann algebra is a Baer *-ring, and much of the theory of projections in von Neumann...
6 KB (793 words) - 14:48, 27 August 2024
List of abstract algebra topics (section Ring theory)
Applications Galois theory Galois group Inverse Galois problem Kummer theory General Module (mathematics) Bimodule Annihilator (ring theory) Structure Submodule...
12 KB (1,129 words) - 10:50, 10 October 2024
In ring theory, a branch of mathematics, an idempotent element or simply idempotent of a ring is an element a such that a2 = a. That is, the element is...
18 KB (2,175 words) - 16:34, 10 May 2024