On the discrete counterparts of algebras with straightening laws

DOI10.1216/JCA-2010-2-1-79zbMath1237.13041arXivmath/0410253MaRDI QIDQ412487

Mitsuhiro Miyazaki

Publication date: 4 May 2012

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

Full work available at URL: https://arxiv.org/abs/math/0410253

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) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Cohen-Macaulay modules (13C14) Rings with straightening laws, Hodge algebras (13F50)

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Cites Work

• Gröbner deformations, connectedness and cohomological dimension
• Characterizations of Buchsbaum complexes
• Determinantal rings
• Gröbner bases of ideals of minors of a symmetric matrix
• Some remarks on algebras with straightening laws
• UPPER BOUNDS FOR LOCAL COHOMOLOGY FOR RINGS WITH GIVEN HILBERT FUNCTION
• Depth formulas for certain graded rings associated to an ideal
• Hodge algebra structures on certain rings of invariants and applications
• Combinatorics and commutative algebra
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