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Generalised associated primes and radicals of submodules

Research output: Contribution to journalArticle

Original languageEnglish
Pages (from-to)159-176
Number of pages18
JournalInternational Electronic Journal of Algebra
Volume4
Publication statusPublished - Jul 2008

Abstract

A challenging problem in recent years has been to find a good
description of the radical of a submodule N of a (Noetherian) module M over
a commutative ring, where the radical of N is the intersection of all prime
submodules of M which contain N. In this paper we give a description of the
radical of N in a Noetherian module M which is amenable to computation
either by hand in simple cases or by using a computer algebra system in other
cases, and illustrate this by examples.

    Research areas

  • associated prime, radical, prime decomposition

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