Monomial Cycle Basis on Koszul Homology Modules

Dorin Popescu

Monomial Cycle Basis on Koszul Homology Modules

交换代数 2007-05-23 v1

作者: Dorin Popescu

摘要

It gives a class of $p$ -Borel principal ideals of a polynomial algebra over a field $K$ for which the graded Betti numbers do not depend on the characteristic of $K$ and the Koszul homology modules have monomial cyclic basis. Also it shows that all principal $p$ -Borel ideals have binomial cycle basis on Koszul homology modules.

关键词

monomial ideals and free resolutions ideal theory monomial ideals

引用

@article{arxiv.math/0505656,
  title  = {Monomial Cycle Basis on Koszul Homology Modules},
  author = {Dorin Popescu},
  journal= {arXiv preprint arXiv:math/0505656},
  year   = {2007}
}

备注

18 pages

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