Polarization and spreading of monomial ideals

DOI10.1080/00927872.2019.1632324zbMath1426.13005arXiv1807.05028OpenAlexW2963801608MaRDI QIDQ5238187

Mircea Cimpoeaş

Publication date: 28 October 2019

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.05028

zbMATH Keywords

monomial idealpolarizationlcm-latticesquarefree operator

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Ideals and multiplicative ideal theory in commutative rings (13A15) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15)

Related Items (2)

Polarization of neural codes ⋮ Vector-spread monomial ideals and Eliahou-Kervaire type resolutions

Cites Work

• Alternative polarizations of Borel fixed ideals, Eliahou-Kervaire type resolution and discrete Morse theory
• Finite atomic lattices and resolutions of monomial ideals
• The behavior of Stanley depth under polarization
• The lcm-lattice in monomial resolutions
• Stanley depth and the lcm-lattice
• How to compute the Stanley depth of a monomial ideal
• LCM Lattices and Stanley Depth: A First Computational Approach
• Alternative polarizations of Borel fixed ideals
• A class of square-free monomial ideals associated to two integer sequences
• Unnamed Item

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