Journal of Commutative Algebra

Degenerations of graded Cohen-Macaulay modules

Naoya Hiramatsu

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Abstract

We introduce a notion of degenerations of graded modules. In relation to it, we also introduce several partial orders as graded analogies of the hom order, the degeneration order and the extension order. We prove that these orders are identical on the graded Cohen-Macaulay modules over a graded ring which is of graded finite representation type and representation directed.

Article information

Source
J. Commut. Algebra, Volume 7, Number 2 (2015), 221-239.

Dates
First available in Project Euclid: 14 July 2015

Permanent link to this document
https://projecteuclid.org/euclid.jca/1436909533

Digital Object Identifier
doi:10.1216/JCA-2015-7-2-221

Mathematical Reviews number (MathSciNet)
MR3370485

Zentralblatt MATH identifier
1368.13001

Subjects
Primary: 16W50: Graded rings and modules
Secondary: 13D10: Deformations and infinitesimal methods [See also 14B10, 14B12, 14D15, 32Gxx]

Keywords
degeneration graded Cohen-Macaulay module finite representation type

Citation

Hiramatsu, Naoya. Degenerations of graded Cohen-Macaulay modules. J. Commut. Algebra 7 (2015), no. 2, 221--239. doi:10.1216/JCA-2015-7-2-221. https://projecteuclid.org/euclid.jca/1436909533


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