Zero-divisors of content algebras

Peyman Nasehpour

Archivum Mathematicum (2010)

  • Volume: 046, Issue: 4, page 237-249
  • ISSN: 0044-8753

Abstract

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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.

How to cite

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Nasehpour, Peyman. "Zero-divisors of content algebras." Archivum Mathematicum 046.4 (2010): 237-249. <http://eudml.org/doc/116489>.

@article{Nasehpour2010,
abstract = {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.},
author = {Nasehpour, Peyman},
journal = {Archivum Mathematicum},
keywords = {content algebra; few zero-divisors; McCoy’s property; minimal prime; property (A); primal ring; zero-divisor graph; content algebra; few zero-divisors; McCoy's property; minimal prime; property (A); primal ring; zero-divisor graph},
language = {eng},
number = {4},
pages = {237-249},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Zero-divisors of content algebras},
url = {http://eudml.org/doc/116489},
volume = {046},
year = {2010},
}

TY - JOUR
AU - Nasehpour, Peyman
TI - Zero-divisors of content algebras
JO - Archivum Mathematicum
PY - 2010
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 046
IS - 4
SP - 237
EP - 249
AB - 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.
LA - eng
KW - content algebra; few zero-divisors; McCoy’s property; minimal prime; property (A); primal ring; zero-divisor graph; content algebra; few zero-divisors; McCoy's property; minimal prime; property (A); primal ring; zero-divisor graph
UR - http://eudml.org/doc/116489
ER -

References

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