Geodesic
Zero-divisors of content algebras
Archivum mathematicum, Tome 46 (2010) no. 4, pp. 237-249.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

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 
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     author = {Nasehpour, Peyman},
     title = {Zero-divisors of content algebras},
     journal = {Archivum mathematicum},
     pages = {237--249},
     publisher = {mathdoc},
     volume = {46},
     number = {4},
     year = {2010},
     mrnumber = {2754063},
     zbl = {1240.13002},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_2010__46_4_a1/}
}
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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/