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On the cardinality of ideals in Artinian rings

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Publication:1111661
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DOI10.1007/BF01207473zbMath0658.16010MaRDI QIDQ1111661

Nguyen Viet Dung, Dinh Van Huynh

Publication date: 1988

Published in: Archiv der Mathematik (Search for Journal in Brave)


zbMATH Keywords

left idealsright Artinian ringsdirect suminfinite cardinal numbersemiprime Artinian ring


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) Artinian rings and modules (associative rings and algebras) (16P20) Modules, bimodules and ideals in associative algebras (16Dxx)


Related Items (1)

On linearly compact rings




Cites Work

  • Unnamed Item
  • The maximal regular ideal of self-injective and continuous rings splits off
  • A note on Artinian rings
  • Some characterizations of hereditarily artinian rings
  • A characterization of artinian rings
  • A Countable Self-Injective Ring is Quasi-Frobenius




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