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Semi-chained rings and modules

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Publication:1813382
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DOI10.1007/BF01262613zbMath0756.16001MaRDI QIDQ1813382

Askar A. Tuganbaev

Publication date: 25 June 1992

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


zbMATH Keywords

direct productlattice of submodulesuniserialchained Artinian ringshereditary Noetherian integral domainssemi-chained modulesemi-chained Noetherian ringsemi-chained ringsemi-distributive module


Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) 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) General module theory in associative algebras (16D10) Semihereditary and hereditary rings, free ideal rings, Sylvester rings, etc. (16E60)


Related Items (2)

Modules over discrete valuation domains. III ⋮ Direct sum decompositions of projective and injective modules into virtually uniserial modules



Cites Work

  • Semiperfect Prüfer rings and FPF rings
  • Modules Whose Lattice of Submodules is Distributive
  • Decomposition of modules over serial rings
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