New results in the theory of associative and Lie rings

DOI10.1007/BF01676750zbMath0496.17001OpenAlexW1991462002WikidataQ115393244 ScholiaQ115393244MaRDI QIDQ1170340

Leonid A. Bokut'

Publication date: 1982

Published in: Algebra and Logic (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/187151

zbMATH Keywords

derivationsLie algebrasidentityimbedding theoremsautomorphisms of free algebrasalgorithmic problemsisomorphism problemsvarieties of Lie algebrasalgebraic elements in Jordan algebrasbrief summary of resultsGalois theory of semiprime ringsinverting homomorphisms of ringsorders in semisimple rings

Mathematics Subject Classification ID

Lattices of varieties (08B15) Prime and semiprime associative rings (16N60) Automorphisms and endomorphisms (16W20) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Structure theory for Lie algebras and superalgebras (17B05) Structure theory for Jordan algebras (17C10) Research exposition (monographs, survey articles) pertaining to nonassociative rings and algebras (17-02) Lie algebras and Lie superalgebras (17B99) Localization and associative Noetherian rings (16P50) Research exposition (monographs, survey articles) pertaining to associative rings and algebras (16-02)

Cites Work

• A solvable group admitting a regular splitting automorphism of prime order is nilpotent
• Remark on the standard identity
• A 3-local characterization of Held's group
• Algebras and semigroups with quadratic growth functions
• Ring identities involving automorphisms
• Free lattice-ordered groups
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: New results in the theory of associative and Lie rings