Multiserial rings

DOI10.1007/BF02595360zbMath0941.16004OpenAlexW3187582636MaRDI QIDQ1962395

Yu. V. Yaremenko, Vladimir Kirichenko

Publication date: 9 April 2000

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

Full work available at URL: https://doi.org/10.1007/bf02595360

zbMATH Keywords

lattices of submodulesquiverssimple modulessemiperfect ringssemichain ringslocal idempotentsbiserial ringshereditary multiserial ringsmultiserial ringsNoetherian multiserial ringsprime semichain rings

Mathematics Subject Classification ID

Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Semihereditary and hereditary rings, free ideal rings, Sylvester rings, etc. (16E60) Chain conditions on other classes of submodules, ideals, subrings, etc.; coherence (associative rings and algebras) (16P70)

Related Items (3)

Multiserial and special multiserial algebras and their representations ⋮ Brauer configuration algebras: a generalization of Brauer graph algebras ⋮ Special multiserial algebras, Brauer configuration algebras and more: A survey

Cites Work

• Distributive modules
• Serial rings and finitely presented modules
• Hereditary local rings
• Unzerlegbare Darstellungen. I. (Indecomposable representations. I)
• Piecewise domains
• Weakly symmetric rings of distributive module type
• A Decomposition Theorem for Noetherian Hereditary Rings
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