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Spring 2020 Gröbner-coherent rings and modules
Rohit Nagpal, Andrew Snowden
J. Commut. Algebra 12(1): 107-114 (Spring 2020). DOI: 10.1216/jca.2020.12.107

Abstract

Let R be a graded ring. We introduce a class of graded R -modules called Gröbner-coherent modules. Roughly, these are graded R -modules that are coherent as ungraded modules because they admit an adequate theory of Gröbner bases. The class of Gröbner-coherent modules is formally similar to the class of coherent modules: for instance, it is an abelian category closed under extension. However, Gröbner-coherent modules come with tools for effective computation that are not present for coherent modules.

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Rohit Nagpal. Andrew Snowden. "Gröbner-coherent rings and modules." J. Commut. Algebra 12 (1) 107 - 114, Spring 2020. https://doi.org/10.1216/jca.2020.12.107

Information

Received: 9 January 2017; Revised: 16 May 2017; Accepted: 23 May 2017; Published: Spring 2020
First available in Project Euclid: 13 May 2020

zbMATH: 07211329
MathSciNet: MR4097060
Digital Object Identifier: 10.1216/jca.2020.12.107

Subjects:
Primary: 13P10, 16Z05

Rights: Copyright © 2020 Rocky Mountain Mathematics Consortium

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Vol.12 • No. 1 • Spring 2020
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