Fall 2020 Multiple convex body semigroups and Buchsbaum rings
Juan Ignacio García-García, Alfredo Sánchez-R.-Navarro, Alberto Vigneron-Tenorio
J. Commut. Algebra 12(3): 309-318 (Fall 2020). DOI: 10.1216/jca.2020.12.309

Abstract

In this work, using the concept of multiple convex body semigroup, we present new families of Buchsbaum semigroups. We characterize Buchsbaum circle and convex polygonal semigroups and we describe algorithmic methods to check such characterizations.

Citation

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Juan Ignacio García-García. Alfredo Sánchez-R.-Navarro. Alberto Vigneron-Tenorio. "Multiple convex body semigroups and Buchsbaum rings." J. Commut. Algebra 12 (3) 309 - 318, Fall 2020. https://doi.org/10.1216/jca.2020.12.309

Information

Received: 17 February 2015; Revised: 2 August 2017; Accepted: 30 August 2017; Published: Fall 2020
First available in Project Euclid: 5 September 2020

zbMATH: 07246821
MathSciNet: MR4146362
Digital Object Identifier: 10.1216/jca.2020.12.309

Subjects:
Primary: 13H10 , 20M05

Keywords: affine semigroup , Buchsbaum ring , Cohen–Macaulay ring , multiple convex body semigroup

Rights: Copyright © 2020 Rocky Mountain Mathematics Consortium

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Vol.12 • No. 3 • Fall 2020
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