Cohen macaulay rings of global dimension two and krull dimension two

DOI10.1080/00927879408825030zbMath0808.16021OpenAlexW2049776463MaRDI QIDQ4300615

Klaus W. Roggenkamp, Yuriy A. Drozd

Publication date: 16 August 1994

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

Full work available at URL: https://doi.org/10.1080/00927879408825030

zbMATH Keywords

quiversglobal dimensionreflexive modulesfinite Cohen-Macaulay typehereditary ordersAuslander ordersCohen-Macaulay ordersCohen-Macaulay categoriesCohen-Macaulay-modulescommutative regular complete local ringmaximal \(\mathcal O\)-orderorders in full matrix ringsregular order in a skewfield

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Representations of orders, lattices, algebras over commutative rings (16G30) Module categories in associative algebras (16D90) Cohen-Macaulay modules in associative algebras (16G50) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Homological dimension in associative algebras (16E10) Regular local rings (13H05)

Related Items (3)

Low dimensional orders of finite representation type ⋮ Non-commutative Cohen-Macaulay rings ⋮ On the global structure of regular orders of dimension two

Cites Work

• Unnamed Item
• Almost split sequences in dimension two
• Two-dimensional orders of finite representation type
• Finite generalized crossed products over tame and maximal orders
• Maximal orders of global dimension and Krull dimension two
• Cohen-Macaulay modules on hypersurface singularities. I
• Cohen-Macaulay modules on hypersurface singularities. II
• Maximal orders over Krull domains
• Reflexive modules over rational double points

This page was built for publication: Cohen macaulay rings of global dimension two and krull dimension two