Serial rings with right Krull dimension one. II

DOI10.1016/0021-8693(88)90243-8zbMath0654.16015OpenAlexW2094775557MaRDI QIDQ1108358

Mary H. Wright

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0021-8693(88)90243-8

zbMATH Keywords

cliquessimple R-modulesdirect sum of modulesdirect sums of Artinian ringsfinite directed graphlocal projective modulesNoetherian serial ringsnon-split extensionserial ring of Krull dimension 1

Mathematics Subject Classification ID

Free, projective, and flat modules and ideals in associative algebras (16D40) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Noncommutative local and semilocal rings, perfect rings (16L30) Infinite-dimensional simple rings (except as in 16Kxx) (16D30) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Modules, bimodules and ideals in associative algebras (16Dxx)

Related Items (8)

Serial rings with krull dimension ⋮ Prime serial rings with krull dimension ⋮ Endomorphism rings, power series rings, and serial modules ⋮ Uniform modules over serial rings ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Krull dimension in serial rings ⋮ Semidistributive modules

Cites Work

• Unnamed Item
• Serial rings with right Krull dimension one
• Polyserial modules over valuation domains
• Serial rings and finitely presented modules
• A generalization of quasi-Frobenius rings
• Generalized uniserial rings and their Kupisch series
• A counter-example in ring theory and homological algebra
• Left principal ideal rings
• The structure of serial rings
• Certain uniform modules over serial rings are uniserial
• Self-Injective Rings
• Serial Right Noetherian Rings
• A Generalization of Quasi-Frobenius Rings
• Krull dimension

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