Tensor products of some special rings.

DOI10.1016/S0021-8693(03)00105-4zbMath1087.13506arXivmath/0210359MaRDI QIDQ1415356

Siamak Yassemi, Massoud Tousi

Publication date: 3 December 2003

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

Full work available at URL: https://arxiv.org/abs/math/0210359

zbMATH Keywords

complete intersectionCohen-MacaulaynessGorensteinnessflat homomorphism of ringsregularity of ring

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Commutative ring extensions and related topics (13B99)

Related Items (18)

Singular Hochschild cohomology via the singularity category ⋮ Tensor product of dualizing complexes over a field ⋮ On the finiteness of Ext-indices of ring extensions ⋮ More properties of almost Cohen-Macaulay rings ⋮ Filter Rings Under Flat Base Change ⋮ Derived Knörrer periodicity and Orlov’s theorem for gauged Landau–Ginzburg models ⋮ Tensor products and direct limits of almost Cohen–Macaulay modules ⋮ Embedding Dimension and Codimension of Tensor Products of Algebras over a Field ⋮ Sequentially $S_{r}$ simplicial complexes and sequentially $S_{2}$ graphs ⋮ Cohen-Macaulay, Gorenstein, complete intersection and regular defect for the tensor product of algebras ⋮ Multigraded commutative algebra of graph decompositions ⋮ Toric fiber products versus Segre products ⋮ CATENARY, LOCALLY EQUIDIMENSIONAL, AND TENSOR PRODUCTS OF ALGEBRAS ⋮ Sequentially Cohen-Macaulay Modules Under Base Change ⋮ Corrections to: ``Singular Hochschild cohomology via the singularity category ⋮ Tensor Products of Approximately Cohen–Macaulay Rings ⋮ Regularity and related properties in tensor products of algebras over a field ⋮ Multivariable $(\varphi ,\Gamma )$-modules and representations of products of Galois groups: The case of the imperfect residue field

Cites Work

• Unnamed Item
• Tensor products of Cohen-Macaulay rings: Solution to a problem of Grothendieck
• Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas. (Séconde partie)
• On tensor products of Gorenstein rings
• Simplifications in the Theory of Tensor Products of Field Extensions

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