cid 8a805805db1818ca61b312d5690d1e254ee87b122dd2d37cfec4b980de204124 · original · open access · via wikipedia
Title: Singular submodule Authors: Venue: Wikipedia Year: unknown Canonical: wiki:singular-submodule URL: https://en.wikipedia.org/wiki/Singular_submodule Collector: wikipedia OA: true ABSTRACT In the branches of abstract algebra known as ring theory and module theory, each right (resp. left) R-module M has a singular submodule consisting of elements whose annihilators are essential right (resp. left) ideals in R. In set notation it is usually denoted as. For general rings, is a good generalization of the torsion submodule tors(M) which is most often defined for domains. In the case that R is a commutative domain,.