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...

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

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

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...

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

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...

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...