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http://dx.doi.org/10.13160/ricns.2014.7.4.278

Various Row Invariants on Cohen-Macaulay Rings  

Lee, Kisuk (Department of Mathematics, Sookmyung Women's University)
Publication Information
Journal of Integrative Natural Science / v.7, no.4, 2014 , pp. 278-282 More about this Journal
Abstract
We define a numerical invariant $row^*_j(A)$ 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 $row_d(A)$=$row_{CM}(A)$ and $row^*_d(A)$=$row^*_{CM}(A)$ for a Cohen-Macaulay local ring A of dimension d.
Keywords
Row Invariants; Cohen-Macaulay Local Ring; Maximal Cohen-Macaulay Module; Free Summands;
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)
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