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Various Row Invariants on Cohen-Macaulay RingsVarious Row Invariants on Cohen-Macaulay Rings

Other Titles
Various Row Invariants on Cohen-Macaulay Rings
Authors
이기석
Issue Date
Dec-2014
Publisher
조선대학교 기초과학연구원
Keywords
Row Invariants; Cohen-Macaulay Local Ring; Maximal Cohen-Macaulay Module; Free Summands
Citation
조선자연과학논문집, v.7, no.4, pp 278 - 282
Pages
5
Journal Title
조선자연과학논문집
Volume
7
Number
4
Start Page
278
End Page
282
URI
https://scholarworks.sookmyung.ac.kr/handle/2020.sw.sookmyung/5745
DOI
10.13160/ricns.2014.7.4.278
ISSN
2005-1042
Abstract
We define a numerical invariant rowi* (A) over Cohen-Macaulay local ring A , which is related to the presenting matrices of the j-th syzygy module (with or without free summands). We show that rowd (A)=row cm and rowd* (A) = row*cm(A) for aCohen-Macaulay local ring A of dimension d.
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