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arxiv: 1006.4290 · v2 · pith:6RNPTFHHnew · submitted 2010-06-22 · 🧮 math.AC

Zero-Divisors of Content Algebras

classification 🧮 math.AC
keywords contentzero-divisorsminimalprimesalgebraalgebrasarticlediameter
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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.

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