Journal of Integrative Natural Science (통합자연과학논문집)

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

  • Lee, Kisuk (Department of Mathematics, Sookmyung Women's University)
  • Received : 2014.10.16
  • Accepted : 2014.12.25
  • Published : 2014.12.31
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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.

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References

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