The maximal regular ideal of self-injective and continuous rings splits off

DOI10.1007/BF01193991zbMath0556.16013WikidataQ114234030 ScholiaQ114234030MaRDI QIDQ761529

Carl Faith

Publication date: 1985

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

zbMATH Keywords

semiprime ringsregular ringsdirect productsemiprimitive ringscontinuous ringssplitting theoremsregular idealbound ringscontinuous ringCS ringsFPF ringslinearly compact ringmaximal regular idealring direct summandself- injective ringsemi- continuous ringssemicontinuous top-regular ringvon Neumann regular

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50) Modules, bimodules and ideals in associative algebras (16Dxx)

Related Items (5)

On the cardinality of ideals in Artinian rings ⋮ Factor Rings and Splitting Ideals of Self-Injective, CS and Baer Rings ⋮ Skew-injective modules ⋮ When Some Complement of a Submodule Is a Summand ⋮ ESSENTIAL COVERS OF RADICAL CLASSES

Cites Work

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