Depth of powers of generalized Hibi ideals

Author:

Bayati Shamila12ORCID,Rahmati Farhad1

Affiliation:

1. Faculty of Mathematics and Computer Science, Amirkabir University of Technology (Tehran Polytechnic), 424 Hafez Ave., Tehran 15914, Iran

2. School of Mathematics, Institute for Research in Fundamental Sciences (IPM), P. O. Box: 19395-5746, Tehran, Iran

Abstract

In this paper, we present a formula for the depth of powers of generalized Hibi ideals and study the asymptotic behavior of depth. We also see that the associated primes of powers of this class of ideals are stable.

Funder

IPM

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

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