GENERALISED ASSOCIATED PRIMES AND RADICALS OF SUBMODULES
GENERALISED ASSOCIATED PRIMES AND RADICALS OF SUBMODULES
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.
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- School of Informatics University of Edinburgh Edinburgh EH8 9LE, Scotland UK e-mail: rmccasla@inf.ed.ac.uk P.F. Smith Department of Mathematics University of Glasgow Glasgow G12 8QW, Scotland UK e-mail: pfs@maths.gla.ac.uk
- ISSN: 1306-6048
- Yayın Aralığı: Yılda 2 Sayı
- Başlangıç: 2007
- Yayıncı: Abdullah HARMANCI
Sayıdaki Diğer Makaleler
CLASSICAL ZARISKI TOPOLOGY OF MODULES AND SPECTRAL SPACES I
GENERALISED ASSOCIATED PRIMES AND RADICALS OF SUBMODULES
REPRESENTATIONS OF LIE ALGEBRAS ARISING FROM POLYTOPES
DUALITY FOR PARTIAL GROUP ACTIONS
Qiao-ling GUO, Shuan-hong WANG
COUNTING CLUSTER-TILTED ALGEBRAS OF TYPE An
CLASSICAL ZARISKI TOPOLOGY OF MODULES AND SPECTRAL SPACES II