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...

annihilator in Wiktionary, the free dictionary. Annihilator(s) may refer to: Annihilator (ring theory) Annihilator (linear algebra), the annihilator of...

rings Dual numbers Tensor product of fields Tensor product of R-algebras Quotient ring Field of fractions Product of rings Annihilator (ring theory)...

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...

reach any point Annihilator (disambiguation) Annihilator (ring theory) – Ideal that maps to zero a subset of a module Idempotent (ring theory) – In mathematics...

Applications Galois theory Galois group Inverse Galois problem Kummer theory General Module (mathematics) Bimodule Annihilator (ring theory) Structure Submodule...

known as ring theory, a left primitive ring is a ring which has a faithful simple left module. Well known examples include endomorphism rings of vector...

(ring theory) Module (model theory) Module spectrum Annihilator Hungerford (1974) Algebra, Springer, p 169: "Modules over a ring are a generalization of abelian...

In algebra, ring theory is the study of rings, algebraic structures in which addition and multiplication are defined and have similar properties to those...

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...

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...

specifically in ring theory, a torsion element is an element of a module that yields zero when multiplied by some non-zero-divisor of the ring. The torsion...

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...

In mathematics, specifically ring theory, a left primitive ideal is the annihilator of a (nonzero) simple left module. A right primitive ideal is defined...

graded ring is a graded module over itself. An ideal in a graded ring is homogeneous if and only if it is a graded submodule. The annihilator of a graded...

x} annihilates m {\displaystyle {\mathfrak {m}}} ). This means, essentially, that the closed point is an embedded component. For example, the ring k [...

In ring theory, a branch of mathematics, the conductor is a measurement of how far apart a commutative ring and an extension ring are. Most often, the...

Equivalently, a noncommutative ring is a ring that is not a commutative ring. Noncommutative algebra is the part of ring theory devoted to study of properties...

Ring theory is the branch of mathematics in which rings are studied: that is, structures supporting both an addition and a multiplication operation. This...

In ring theory, a branch of mathematics, a radical of a ring is an ideal of "not-good" elements of the ring. The first example of a radical was the nilradical...

mathematics, more specifically ring theory, the Jacobson radical of a ring R is the ideal consisting of those elements in R that annihilate all simple right R-modules...

{\displaystyle \operatorname {Ann} } denotes annihilator, that is the ideal of the elements of the ring that map to zero all elements of the module. In...

non-commutative ring theory, modern algebra, and module theory, the Jacobson density theorem is a theorem concerning simple modules over a ring R. The theorem...

In ring theory, a subfield of abstract algebra, a right Kasch ring is a ring R for which every simple right R-module is isomorphic to a right ideal of...

{Ann} _{R}(M)})} where AnnR(M), the annihilator, is the kernel of the natural map R → EndR(M) of R into the ring of R-linear endomorphisms of M. In the...

subring of k, called the ring of integers of k, a central object of study in algebraic number theory. In this article, the term ring will be understood to...

(specifically commutative ring theory), Faltings' annihilator theorem states: given a finitely generated module M over a Noetherian commutative ring A and ideals I...

In abstract algebra, in particular ring theory, the Akizuki–Hopkins–Levitzki theorem connects the descending chain condition and ascending chain condition...

mathematics, the Lasker–Noether theorem states that every Noetherian ring is a Lasker ring, which means that every ideal can be decomposed as an intersection...

J of elements (0,d) where d has image 0 in E. If J has annihilator 0 in D, then its annihilator in B is just the kernel I of the map from C to E. So the...