Title of article
Associated Prime Ideals of the Amalgamated Algebra
Author/Authors
Azimi ، Yusof Department of Mathematics - School of Mathematics - University of Tabriz
From page
4063
To page
4071
Abstract
Let R and S be commutative rings with identity, J an ideal of S, and f : R → S a ring homomorphism. In this paper, we determine the set of associated prime ideals of amalgamated algebra R f J , when f is surjective. As an application, we characterize when the zero-divisor graph of amalgamations is a (complete) bipartite graph.
Keywords
Amalgamated algebra , Associated primes , Idealization , Graph of zero divisor
Journal title
Bulletin of the Iranian Mathematical Society
Journal title
Bulletin of the Iranian Mathematical Society
Record number
2775222
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