Zero-divisors of content algebras
| Autor(en): | Nasehpour, P. | Stichwörter: | Content algebra; Few zero-divisors; McCoy's property; Minimal prime; Primal ring; Property (A); Zero-divisor graph | Erscheinungsdatum: | 2010 | Journal: | Archivum Mathematicum | Volumen: | 46 | Ausgabe: | 4 | Startseite: | 237 | Seitenende: | 249 | Zusammenfassung: | In this article, we prove that in content extentions minimal primes extend to minimal primes and discuss zero-divisors of a content algebra over a ring who has Property (A) or whose set of zero-divisors is a finite union of prime ideals. We also examine the preservation of diameter of zero-divisor graph under content extensions. |
ISSN: | 00448753 | Externe URL: | https://www.scopus.com/inward/record.uri?eid=2-s2.0-78751506384&partnerID=40&md5=c7c238ff9678594a23e0ce0d18f5db09 |
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