Volume no :4, Issue no: 2, March 2010

A NOTE ON FINITELY GENERATED SECONDARY MODULES

Author's: S. Ebrahimi Atani and F. Esmaeili Khalil Saraei
Pages: [349] - [358]
Received Date: December 4, 2009
Submitted by:

Abstract

Let R be a commutative ring with identity. For a representable R-module M, the notion of attached prime submodules of M is defined. It is shown that an attached prime submodule of a finitely generated representable module M is of the form PM for some the set of attached prime ideals of M, and so, there is a lattice isomorphism between and the set of attached prime submodules of M.

Keywords

attached primes, secondary modules.