NONINCREASING DEPTH FUNCTIONS OF MONOMIAL IDEALS

DOI10.1017/S0017089517000349zbMath1421.13001arXiv1607.07223OpenAlexW2978009920MaRDI QIDQ4636398

Kazunori Matsuda, Tao Suzuki, Akiyoshi Tsuchiya

Publication date: 19 April 2018

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

Full work available at URL: https://arxiv.org/abs/1607.07223

zbMATH Keywords

depthpowers of idealsdepth function

Mathematics Subject Classification ID

Graded rings (13A02) Ideals and multiplicative ideal theory in commutative rings (13A15) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15)

Related Items (7)

Depth Functions and Symbolic Depth Functions of Homogeneous Ideals ⋮ Depth of Powers of Squarefree Monomial Ideals (Research) ⋮ Depth of powers of generalized Hibi ideals ⋮ The socle module of a monomial ideal ⋮ An effective avoidance principle for a class of ideals ⋮ Depth functions of symbolic powers of homogeneous ideals ⋮ Depth functions of powers of homogeneous ideals

Cites Work

• Unnamed Item
• Depth and regularity of powers of sums of ideals
• Powers of sums and their homological invariants
• The depth of powers of an ideal
• The asymptotic nature of the analytic spread

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