Axiomatizability of radical and semisimple classes of modules and Abelian groups

DOI10.1007/BF01091514zbMath0503.20021OpenAlexW1964976237MaRDI QIDQ1173161

E. L. Gorbachuk, Mykola Ya. Komarnytskyy

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1007/bf01091514

zbMATH Keywords

duo ringstorsion radicalradical classsemisimple classdivisible abelian groupsaxiomatizable radicallocal perfect ringsradical in abelian group categorysemisimple abelian groups

Mathematics Subject Classification ID

Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Homological and categorical methods for abelian groups (20K40) Radicals and radical properties of associative rings (16Nxx)

Cites Work

• Unnamed Item
• Unnamed Item
• Some model-theoretic aspects of torsion theories
• I-radicals and their properties
• A characterization of perfect rings
• Model-completions and modules
• Definability problems for modules and rings
• Elementary properties of Abelian groups

This page was built for publication: Axiomatizability of radical and semisimple classes of modules and Abelian groups