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 …

On quotients of Rees algebras - ScienceDirect Skip to main contentSkip to article Elsevier logo
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Let R be a commutative ring with unit and M an R-module. M. Nagata, 1962, in an attempt to
derive primary decomposition of modules from primary decomposition of ideals, introduced …

Let R be a one-dimensional Cohen-Macaulay local ring and I an ideal of R. It is well known
that both the classical construction of Nagata's idealization R⋉ I and a recent construction …

Given a commutative local ring $(R,\mathfrak m) $ and an ideal $ I $ of $ R $, a family of
quotients of the Rees algebra $ R [It] $ has been recently studied as a unified approach to …

Let R be a commutative ring and let I be a nonzero proper ideal of R. In this paper, we study
the properties of a family of rings R (I) a, b, with a, b∈ R, as quotients of the Rees algebra⊕ …

Let R be a commutative Noetherian ring and let I≠ 0 be a proper ideal of R. We study some
properties of a family of rings R (I) a, b that are obtained as quotients of the Rees algebra …

A family of quotients of a Rees algebra associated to a ring with respect to a fixed ideal was
recently introduced by Barucci, D'Anna and Strazzanti. In this paper, we will classify rings of …

Full article: The graph of zero-divisors of quadratic quotients of Rees algebras Skip to Main
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Let R be a commutative ring and let I≠ 0 be a proper ideal of R. In this paper, we study
some algebraic and homological properties of a family of rings R (I) a, b, with a, b∈ R, that …