Notes onC-Graded Modules Over an Affine Semigroup RingK[C]

DOI10.1080/00927870802104295zbMath1165.13005arXivmath/0506457OpenAlexW2064075018MaRDI QIDQ3525206

Kohji Yanagawa

Publication date: 11 September 2008

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

Full work available at URL: https://arxiv.org/abs/math/0506457

zbMATH Keywords

monomial ideallocal cohomologyGorensteinsequentially Cohen-Macaulayconstructible sheafaffine semigroup ringsquarefree modulesirreducible resolution

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Syzygies, resolutions, complexes and commutative rings (13D02)

Related Items (7)

Linearity defects of face rings ⋮ On toric face rings ⋮ Scarf lattice ideals ⋮ Dualizing complex of the face ring of a simplicial poset ⋮ On Canonical Modules of Toric Face Rings ⋮ LYUBEZNIK NUMBERS OF LOCAL RINGS AND LINEAR STRANDS OF GRADED IDEALS ⋮ Dualizing Complex of a Toric Face Ring

Cites Work

• Unnamed Item
• Level rings and algebras with straightening laws
• Resolutions of Stanley-Reisner rings and Alexander duality
• The Alexander duality functors and local duality with monomial support
• Derived category of squarefree modules and local cohomology with monomial ideal support
• Combinatorics and commutative algebra.
• Algorithms for graded injective resolutions and local cohomology over semigroup rings
• On the radical of a monomial ideal
• Bass numbers of local cohomology modules with supports in monomial ideals
• Complete Intersections and Connectedness
• Sheaf cohomology and free resolutions over exterior algebras
• Cohen-Macaulayness and squarefree modules
• Sheaves on finite posets and modules over normal semigroup rings

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