Geodesic
Zero-divisors of content algebras
Archivum mathematicum, Tome 46 (2010) no. 4, pp. 237-249 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

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.
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.
Classification : 05C25, 05C99, 13A15, 13A99, 13B25
Keywords: content algebra; few zero-divisors; McCoy’s property; minimal prime; property (A); primal ring; zero-divisor graph 
@article{ARM_2010_46_4_a1,
     author = {Nasehpour, Peyman},
     title = {Zero-divisors of content algebras},
     journal = {Archivum mathematicum},
     pages = {237--249},
     year = {2010},
     volume = {46},
     number = {4},
     mrnumber = {2754063},
     zbl = {1240.13002},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_2010_46_4_a1/}
}
TY  - JOUR
AU  - Nasehpour, Peyman
TI  - Zero-divisors of content algebras
JO  - Archivum mathematicum
PY  - 2010
SP  - 237
EP  - 249
VL  - 46
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/ARM_2010_46_4_a1/
LA  - en
ID  - ARM_2010_46_4_a1
ER  - 
%0 Journal Article
%A Nasehpour, Peyman
%T Zero-divisors of content algebras
%J Archivum mathematicum
%D 2010
%P 237-249
%V 46
%N 4
%U http://geodesic.mathdoc.fr/item/ARM_2010_46_4_a1/
%G en
%F ARM_2010_46_4_a1
Nasehpour, Peyman. Zero-divisors of content algebras. Archivum mathematicum, Tome 46 (2010) no. 4, pp. 237-249. http://geodesic.mathdoc.fr/item/ARM_2010_46_4_a1/