2-GENERATED IDEALS IN NON-NOETHERIAN SEMIGROUP RINGS

Authors
OKON JS RUSH DE VICKNAIR P
Citation
Js. Okon et al., 2-GENERATED IDEALS IN NON-NOETHERIAN SEMIGROUP RINGS, Journal of pure and applied algebra, 111(1-3), 1996, pp. 255-276
Citations number
18
Categorie Soggetti
Mathematics, Pure",Mathematics,Mathematics,Mathematics
Journal title
Journal of pure and applied algebra → ACNP
ISSN journal
00224049
Volume
111
Issue
1-3
Year of publication
1996
Pages
255 - 276
Database
ISI
SICI code
0022-4049(1996)111:1-3<255:2IINSR>2.0.ZU;2-W
Abstract
We determine when a semigroup ring R[S] has the 2-generator property f or large classes of commutative cancellative semigroups S and commutat ive rings R. We also give a structure theorem for certain torsion-free modules over these semigroup rings.