A class of square-free monomial ideals associated to two integer sequences

ABSTRACT

Given two finite sequences of positive integers α and β, we associate a square-free monomial ideal I_α,β in a ring of polynomials S, and we recursively compute the algebraic invariants of S∕I_α,β. Also, we give precise formulas in special cases.

KEYWORDS:

• Finite integer sequences
• square-free monomial ideals
• Stanley depth

2010 MATHEMATICS SUBJECT CLASSIFICATION:

• 13C15
• 13P10
• 13F20

Acknowledgments

The support from grant ID-PCE-2011-1023 of Romanian Ministry of Education, Research and Innovation is gratefully acknowledged.