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

Abstract

Given two finite sequences of positive integers $\alpha$ and $\beta$, we associate a square free monomial ideal $I_{\alpha ,\beta }$ in a ring of polynomials $S$, and we recursively compute the algebraic invariants of $S/I_{\alpha ,\beta }$. Also, we give precise formulas in special cases.

11 pages

References in corpus (4)

• A non-partitionable Cohen-Macaulay simplicial complex
• Algebraic properties of the path ideal of a tree
• Stanley depth of the path ideal associated to a line graph
• On the Stanley depth of the path ideal of a cycle graph

Cited by in corpus (1)

• Polarization and spreading of monomial ideals