On semisimple extensions of serial rings

DOI10.14492/hokmj/1350912952zbMath0964.16019OpenAlexW1969962285MaRDI QIDQ1977492

Kazuhiko Hirata, Kozo Sugano

Publication date: 2 July 2001

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

Full work available at URL: https://doi.org/10.14492/hokmj/1350912952

zbMATH Keywords

primitive idempotentsuniserial ringscommutative local serial ringsleft semisimple extensionslengths of composition series

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) Noncommutative local and semilocal rings, perfect rings (16L30) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Artinian rings and modules (associative rings and algebras) (16P20) Chain conditions on other classes of submodules, ideals, subrings, etc.; coherence (associative rings and algebras) (16P70)

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