Regular over-orders of lattice-finite rings and the Krull-Schmidt property.

DOI10.1016/S0022-4049(02)00213-XzbMath1037.16009MaRDI QIDQ1869186

Wolfgang Rump

Publication date: 9 April 2003

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

Morita equivalencesalmost split sequencesKrull-Schmidt categoriesleft Noetherian semilocal ringsindecomposable latticeslattice-finite ringsregular over-orderssemiperfect one-dimensional regular rings

Mathematics Subject Classification ID

Representations of orders, lattices, algebras over commutative rings (16G30) Module categories in associative algebras (16D90) Representation type (finite, tame, wild, etc.) of associative algebras (16G60) Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Noncommutative local and semilocal rings, perfect rings (16L30) Noetherian rings and modules (associative rings and algebras) (16P40) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50)

Cites Work

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• The category of lattices over a lattice-finite ring.
• Lattice-finite rings.
• The structure of serial rings
• \(\tau\)-categories. II: Nakayama pairs and rejective subcategories.
• On Utumi's Ring of Quotients
• Non-commutative regular rings

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