Affine Semigroups and Cohen-Macaulay Rings Generated by Monomials

DOI10.2307/2000613zbMath0631.13020OpenAlexW4243863561MaRDI QIDQ3767433

Lê Tuân Hoa, Ngô Viêt Trung

Publication date: 1986

Full work available at URL: https://doi.org/10.2307/2000613

zbMATH Keywords

characteristicbehaviour of Cohen-Macaulayness under ring extension

Mathematics Subject Classification ID

Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) (14M05) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Semigroup rings, multiplicative semigroups of rings (20M25) Extension theory of commutative rings (13B02)

Related Items (44)

Finite generation of rings of differential operators of semigroup algebras. ⋮ Examples of Buchsbaum Quasi-Gorenstein Rings ⋮ On multi-Rees algebras. With an appendix by Ngô Viêt Trung ⋮ On seminormal monoid rings ⋮ Semigroup rings and simplicial complexes ⋮ On the Gorenstein locus of simplicial affine semigroup rings ⋮ Gorenstein property for phylogenetic trivalent trees ⋮ Unnamed Item ⋮ Cohen–Macaulay and Gorenstein tangential varieties of the Segre–Veronese varieties ⋮ A local study of the fiber-full scheme ⋮ A characterization of some families of Cohen-Macaulay, Gorenstein and/or Buchsbaum rings ⋮ On positive affine monoids. ⋮ Difference of Hilbert series of homogeneous monoid algebras and their normalizations ⋮ Non-normal edge rings satisfying \((S_2)\)-condition ⋮ Graded local cohomology of modules over semigroup rings ⋮ Multiple convex body semigroups and Buchsbaum rings ⋮ Castelnuovo-Mumford regularity of seminormal simplicial affine semigroup rings ⋮ Algorithmetical aspects of the problem of classifying multi-projections of Veronesian varieties ⋮ Monomial projections of Veronese varieties: new results and conjectures ⋮ Counterexamples for Cohen–Macaulayness of lattice ideals ⋮ The Cohen-Macaulay property of affine semigroup rings in dimension 2 ⋮ Affine semigroup rings and monomial varieties ⋮ Syzygies of affine toric varieties ⋮ The \({\mathcal A}\)-hypergeometric system associated with a monomial curve ⋮ Type and conductor of simplicial affine semigroups ⋮ Non-normal affine monoid algebras ⋮ Buchsbaumness and Castelnuovo-Mumford regularity of non-smooth monomial curves ⋮ On monomial k-Buchsbaum curves in \(\mathbb{P}{}^ 3\) ⋮ Primitive ideals of the ring of differential operators on a affine toric variety ⋮ Noether resolutions in dimension 2 ⋮ On Cohen-Macaulay and Gorenstein simplicial affine semigroups ⋮ Graded rings associated with contracted ideals ⋮ Toric singularities revisited ⋮ Some remarks on normal property of graded subalgebras of polynomial rings ⋮ The Gorenstein property depends upon characteristic for affine semigroup rings ⋮ On the arithmetic Cohen-Macaulayness of varieties parameterized by Togliatti systems ⋮ Computing families of Cohen-Macaulay and Gorenstein rings ⋮ Cohen-Macaulayness and computation of Newton graded toric rings ⋮ Multiplicity and Hilbert-Kunz multiplicity of monoid rings. ⋮ Castelnuovo-Mumford regularity and the reduction number of some monomial curves ⋮ On free affine semigroups ⋮ Non-Cohen-Macaulay projective monomial curves. ⋮ Homological properties of pinched Veronese rings ⋮ Castelnuovo-Mumford regularity of simplicial toric rings.

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