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 (2,170 words) - 10:53, 15 July 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) - 15:28, 22 May 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 (6,320 words) - 09:24, 30 August 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 (3,098 words) - 08:42, 28 May 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
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 (1,128 words) - 01:18, 14 November 2023
Module (mathematics) (redirect from Module (ring theory))
the annihilator of M is the zero ideal. Torsion-free A torsion-free module is a module over a ring such that 0 is the only element annihilated by a regular...
21 KB (2,941 words) - 13:38, 7 August 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
Support of a module (category Module theory)
contains the annihilator of M {\displaystyle M} . For example, over R = C [ x , y , z , w ] {\displaystyle R=\mathbb {C} [x,y,z,w]} , the annihilator of the...
6 KB (904 words) - 21:53, 10 July 2024