On a problem of F. Szasz: When are all subrings endomorphic images?

DOI10.1007/BF01849023zbMath0522.16022OpenAlexW2069715464MaRDI QIDQ1055857

B. J. Gardner

Publication date: 1983

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01849023

zbMATH Keywords

endomorphic imagesfinite nilpotent ringssubringsdivisible ringidempotent ringsdirect sum of finite fieldsfree ring of infinite rankleft artinian rings

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Finite rings and finite-dimensional associative algebras (16P10) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Division rings and semisimple Artin rings (16Kxx) Modules, bimodules and ideals in associative algebras (16Dxx)

Cites Work

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• Finite groups with all subgroups isomorphic to quotient groups
• A characterization of the nil radical of a ring
• Semi-simple radical classes
• Varieties of algebras
• On bands in which every finitely generated subband is an endomorphic image
• Direct and Subdirect Sums of Simple Rings with Unit
• Strongly Hereditary Radical Classes

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