Finitely generated modules over pullback rings

DOI10.1006/jabr.1996.0262zbMath0863.16003OpenAlexW2007828801MaRDI QIDQ1923958

Reinhard C. Laubenbacher, David M. Arnold

Publication date: 9 June 1997

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

Full work available at URL: https://semanticscholar.org/paper/0922f2002c85ef2f2c40846fab542501c76fa5da

zbMATH Keywords

finitely generated modulescompletionsfinite length modulesindecomposable finitely generated moduleshereditary Noetherian homogeneously serial ringsmaximal Artinian submodulespullback of valuation domainspullback rings

Mathematics Subject Classification ID

Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Representations of quivers and partially ordered sets (16G20) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Noetherian rings and modules (associative rings and algebras) (16P40)

Related Items (14)

Classification of 1-absorbing comultiplication modules over a pullback ring ⋮ COMPUTING THE ADDITIVE STRUCTURE OF INDECOMPOSABLE MODULES OVER DEDEKIND-LIKE RINGS USING GRÖBNER BASES ⋮ Unnamed Item ⋮ Pseudo-absorbing comultiplication modules over a pullback ring ⋮ Almost split sequences for dedekind-like rings. II ⋮ Unnamed Item ⋮ Higher level Zhu algebras and modules for vertex operator algebras ⋮ Pseudo-absorbing multiplication modules over a pullback ring ⋮ THE FINITE LENGTH MODULES FOR THIN -GRADED RINGS ⋮ On Semiprime Multiplication Modules over Pullback Rings ⋮ The level one Zhu algebra for the Virasoro vertex operator algebra ⋮ On 2-absorbing multiplication modules over pullback rings ⋮ Vaught's Conjecture and Group Rings ⋮ On pure-injective modules over pullback rings

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