The graph of zero-divisors of quadratic quotients of Rees algebras
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DOI: 10.1080/00927872.2021.1930025
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. read more here.
Keywords: graph zero; divisors quadratic; quadratic quotients; quotients rees ... See more keywords
A characterization of the Arf property for quadratic quotients of the Rees algebra
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DOI: 10.1142/s0219498820501273
Abstract: We provide a characterization of the Arf property in both the numerical duplication of a numerical semigroup and in a member of a family of quotients of the Rees algebra studied in [V. Barucci, M.… read more here.
Keywords: characterization arf; property quadratic; quotients rees; arf property ... See more keywords