- International Electronic Journal of Algebra
- Vol: 4 Issue: 4
- GENERALISED ASSOCIATED PRIMES AND RADICALS OF SUBMODULES
GENERALISED ASSOCIATED PRIMES AND RADICALS OF SUBMODULES
Authors : R. L. Mccasland, P. F. Smith
Pages : 159-176
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Publication Date : 2008-12-01
Article Type : Other
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.Keywords :