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The graph of zero-divisors of quadratic quotients of Rees algebras

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Abstract We study the graph of zero-divisors of a quadratic quotient of a Rees algebra. We provide conditions in order to determine its girth and diameter, extending several results regarding… Click to show full abstract

Abstract We study the graph of zero-divisors of a quadratic quotient of a Rees algebra. We provide conditions in order to determine its girth and diameter, extending several results regarding amalgamated duplications and Nagata’s idealization.

Keywords: graph zero; divisors quadratic; quadratic quotients; quotients rees; zero divisors

Journal Title: Communications in Algebra
Year Published: 2021

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