A characterization of the Arf property for quadratic quotients of the Rees algebra-Reference-Cited by-同舟云学术

A characterization of the Arf property for quadratic quotients of the Rees algebra

Published:2019-07-11 Issue:07 Volume:19 Page:2050127
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

Borzì Alessio¹²

Affiliation:

1. Scuola Superiore di Catania, Via Valdisavoia 9, 95123 Catania, Italy

2. Dipartimento di Matematica e Informatica, Università degli Studi di Catania, Viale Andrea Doria 6, 95125 Catania, Italy

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. D’Anna and F. Strazzanti, A family of quotients of the Rees algebra, Commun. Algebra 43(1) (2015) 130–142].

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219498820501273

Reference10 articles.

1. Une Interprétation Algébrique de la Suite des Ordres de Multiplicité D'une Branche Algébrique

2. A Family of Quotients of the Rees Algebra

3. AN AMALGAMATED DUPLICATION OF A RING ALONG AN IDEAL: THE BASIC PROPERTIES

4. The numerical duplication of a numerical semigroup

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