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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
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.
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