Diserial rings

DOI10.1007/BF01056643zbMath0622.16013OpenAlexW4242136707MaRDI QIDQ1090747

P. P. Kostyukevich, Vladimir Kirichenko

Publication date: 1986

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01056643

zbMATH Keywords

idempotentschain ringsArtin diserial ringhereditary diserial ringslocal diserial ringssemichain ringssemiperfect diserial rings

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Conditions on elements (16U99) Modules, bimodules and ideals in associative algebras (16Dxx)

Cites Work

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• Hereditary and semihereditary serial rings
• Classification of pairs of mutually annihilating operators in a graded space and representations of dyads of generalized uniserial algebras
• Serial rings and finitely presented modules
• Application of modules over a dyad for the classification of finite \(p\)-groups possessing an Abelian subgroup of index \(p\) and of pairs of mutually annihilating operators
• Finitistic Dimension and a Homological Generalization of Semi-Primary Rings
• On a generalization of serial rings.II
• Modules over diserial rings
• Determination of a Certain Family of Finite Metabelian Groups

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