| Title:
|
Zero-divisors of content algebras (English) |
| Author:
|
Nasehpour, Peyman |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
46 |
| Issue:
|
4 |
| Year:
|
2010 |
| Pages:
|
237-249 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
content algebra |
| Keyword:
|
few zero-divisors |
| Keyword:
|
McCoy’s property |
| Keyword:
|
minimal prime |
| Keyword:
|
property (A) |
| Keyword:
|
primal ring |
| Keyword:
|
zero-divisor graph |
| MSC:
|
05C25 |
| MSC:
|
05C99 |
| MSC:
|
13A15 |
| MSC:
|
13A99 |
| MSC:
|
13B25 |
| idZBL:
|
Zbl 1240.13002 |
| idMR:
|
MR2754063 |
| . |
| Date available:
|
2010-12-14T14:55:46Z |
| Last updated:
|
2013-09-19 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/141379 |
| . |
| Reference:
|
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| . |
