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

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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.
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},
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     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/

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