ASSOCIATED GRADED RINGS OF NUMERICAL SEMIGROUP RINGS

DOI10.1081/AGB-100106784zbMath1051.13005MaRDI QIDQ2758272

Victoria A. Sapko

Publication date: 2001

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

zbMATH Keywords

associated graded ringCohen-Macaulaynessembedding dimensionBuchsbaumness

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Semigroup rings, multiplicative semigroups of rings (20M25) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30) Cohen-Macaulay modules (13C14)

Related Items (7)

When the associated graded ring of a semigroup ring is complete intersection ⋮ Minimal free resolution of the associated graded ring of monomial curves of generalized arithmetic sequences ⋮ Associated graded rings of one-dimensional analytically irreducible rings ⋮ On the associated graded ring of a semigroup ring ⋮ On the Apéry sets of monomial curves ⋮ Tangent Cone of Numerical Semigroup Rings of Embedding Dimension Three ⋮ On the Buchsbaumness of the Associated Graded Ring of a One-Dimensional Local Ring

Cites Work

• Generators and relations of abelian semigroups and semigroup rings
• On the equations defining tangent cones
• Cohen-macaulayness of the associated graded of a semigroup rings
• On numerical semigroups

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