Squarefree monomial ideals with maximal depth

DOI10.21136/CMJ.2020.0171-19OpenAlexW3017825448MaRDI QIDQ5140403

Ahad Rahimi

Publication date: 15 December 2020

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.11960

zbMATH Keywords

line graphcycle graphmaximal depthpower of edge idealtransversal polymatroidal idealwhisker graph

Mathematics Subject Classification ID

Dimension theory, depth, related commutative rings (catenary, etc.) (13C15) Combinatorial aspects of commutative algebra (05E40)

Related Items (1)

Maximal depth property of bigraded modules

Cites Work

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• Generic and cogeneric monomial ideals
• Simplicial trees are sequentially Cohen-Macaulay
• The stable set of associated prime ideals of a polymatroidal ideal
• Associated primes of powers of edge ideals
• Whiskers and sequentially Cohen-Macaulay graphs
• Asymptotic Stability of Ass(M/I n M)
• Maximal depth property of finitely generated modules
• Monomial Ideals
• Monomial Algebras
• Associated primes of powers of edge ideals and ear decompositions of graphs

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