Monomial Cycle Basis on Koszul Homology Modules

Details Monomial Cycle Basis on Koszul Homology Modules Monomial Cycle Basis on Koszul Homology Modules

2005-05-30

arxiv.org/abs/math/0505656v1

Mathematics

Commutative Algebra

18 pages

Scientific paper

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.

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