Zero-divisors of semigroup modules
| Autor(en): | Nasehpour, P. | Stichwörter: | Dedekind-Mertens Lemma; Few zero-divisors; McCoy's property; Primal modules; Property (A); Semigroup modules | Erscheinungsdatum: | 2011 | Journal: | Kyungpook Mathematical Journal | Volumen: | 51 | Ausgabe: | 1 | Startseite: | 37 | Seitenende: | 42 | Zusammenfassung: | Let M be an R-module and S a semigroup. Our goal is to discuss zero-divisors of the semigroup module M[S]. Particularly we show that if M is an R-module and S a commutative, cancellative and torsion-free monoid, then the R[S]-module M[S] has few zero-divisors of size n if and only if the R-module M has few zero-divisors of size n and Property (A). |
ISSN: | 12256951 | DOI: | 10.5666/KMJ.2011.51.1.037 | Externe URL: | https://www.scopus.com/inward/record.uri?eid=2-s2.0-79954504992&doi=10.5666%2fKMJ.2011.51.1.037&partnerID=40&md5=67c398fac796bac7eedd1625bba43ece |
Show full item record
