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Monomial Cycle Basis on Koszul Homology Modules

Commutative Algebra 2007-05-23 v1

Abstract

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

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Cite

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

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18 pages