Linearity defects of face rings

DOI10.1016/j.jalgebra.2007.02.049zbMath1127.13020arXivmath/0607780OpenAlexW2046890507MaRDI QIDQ2382990

Kohji Yanagawa, Ryota Okazaki

Publication date: 5 October 2007

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

Full work available at URL: https://arxiv.org/abs/math/0607780

zbMATH Keywords

Stanley-Reisner ringsquarefree modulesquarefree monomial idealsequentially Cohen-Macaulaylinearity defectcomponentwise linearexterior face ringweakly Koszul module

Mathematics Subject Classification ID

Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Syzygies, resolutions, complexes and commutative rings (13D02) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30)

Related Items (6)

Notes on the linearity defect and applications ⋮ Linearity defects of modules over commutative rings ⋮ On the dimension of dual modules of local cohomology and the Serre's condition for the unmixed Stanley-Reisner ideals of small height ⋮ Linearity defect of edge ideals and Fröberg's theorem ⋮ ON THE ASYMPTOTIC BEHAVIOR OF THE LINEARITY DEFECT ⋮ LYUBEZNIK NUMBERS OF LOCAL RINGS AND LINEAR STRANDS OF GRADED IDEALS

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