Squarefree Monomial Ideals that Fail the Persistence Property and Non-increasing Depth

Author:

Hà Huy Tài,Sun Mengyao

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference22 articles.

1. Bandari, S., Herzog, J., Hibi, T.: Monomial ideals whose depth function has any given number of strict local maxima. Ark. Mat. 52(1), 11–19 (2014)

2. Berge, C.: Hypergraphs: combinatorics of finite sets. North-Holland, New York (1989)

3. Brodmann, M.: Asymptotic stability of Ass(M/I n M). Proc. AMS 74, 16–18 (1979)

4. Brodmann, M.: The asymptotic nature of the analytic spread. Math. Proc. Camb. Philos. Soc. 86, 35–39 (1979)

5. Bruns, W., Herzog, J.: Cohen-Macaulay rings. Cambridge studies in advanced mathematics 39. Cambridge University Press, Cambridge (1993)

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1. Decreasing behavior of the depth functions of edge ideals;Journal of Algebraic Combinatorics;2023-11-23

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3. Depth Functions and Symbolic Depth Functions of Homogeneous Ideals;Commutative Algebra;2021

4. Associated Primes of Powers of Squarefree Monomial Ideals;Lecture Notes of the Unione Matematica Italiana;2020

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