통합자연과학논문집 (Journal of Integrative Natural Science)

조선대학교 기초과학연구원 (The Basic Science Institute Chosun University)
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Various Row Invariants on Cohen-Macaulay Rings

  • Lee, Kisuk (Department of Mathematics, Sookmyung Women's University)
  • 투고 : 2014.10.16
  • 심사 : 2014.12.25
  • 발행 : 2014.12.31
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초록

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.

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참고문헌

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