Stanley depth and size of a monomial ideal

Details Stanley depth and size of a monomial ideal Stanley depth and size of a monomial ideal

2010-11-30

arxiv.org/abs/1011.6462v1

Mathematics

Commutative Algebra

Scientific paper

Lyubeznik introduced the concept of size of a monomial ideal and showed that
the size of a monomial ideal increased by $1$ is a lower bound for its depth.
We show that the size is also a lower bound for its Stanley depth. Applying
Alexander duality we obtain upper bounds for the regularity and Stanley
regularity of squarefree monomial ideals.

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