Torsion-free rings.

DOI10.1007/S10958-010-0132-6zbMath1284.20063OpenAlexW1975583226MaRDI QIDQ393192

E. I. Kompantseva

Publication date: 16 January 2014

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-010-0132-6

zbMATH Keywords

semisimple groupsradical ringsnilpotent ringsadditive groups of ringsring multiplicationsabsolute Jacobson radicalsabsolute nil-radicalsdivisible torsion-free Abelian groupsmultiplications on groupsnil-ringsreduced algebraically compact groups

Mathematics Subject Classification ID

Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Torsion-free groups, infinite rank (20K20) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Jacobson radical, quasimultiplication (16N20)

Related Items (10)

ABELIAN SACR-GROUPS ⋮ Rings on abelian torsion-free groups of finite rank ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Multiplication groups of abelian torsion-free groups of finite rank ⋮ Absolute ideals of algebraically compact abelian groups ⋮ Rings on vector abelian groups ⋮ Abelian dqt-groups and rings on them. ⋮ Absolute nil-ideals of Abelian groups. ⋮ Torsion Abelian RAI-groups.

Cites Work

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• Strongly semisimple Abelian groups
• Rings with additive group which is the direct sum of cyclic groups
• Zur Theorie der Zeroringe
• The nilstife of the direct sum of rank 1 torsion free groups

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