Torsion subgroups, solvability and the Engel condition in associative rings

Orest Artemovych; Victor Bovdi

doi:10.1007/s13398-022-01265-x

Torsion subgroups, solvability and the Engel condition in associative rings

Orest Artemovych
, Victor Bovdi

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

The connections between the properties of associative rings that are Lie-solvable (Engel, n-Engel, locally finite, respectively) and the properties of their adjoin subgroups are investigated.

Original language	English
Article number	122
Journal	Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas
Volume	116
Issue number	3
DOIs	https://doi.org/10.1007/s13398-022-01265-x
Publication status	Published - Jul 2022

Keywords

Derivation Group of unit
Engel ring
Lie nilpotent ring
Local ring
Solvable group

ASJC Scopus subject areas

Analysis
Algebra and Number Theory
Geometry and Topology
Computational Mathematics
Applied Mathematics

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10.1007/s13398-022-01265-x

Cite this

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abstract = "The connections between the properties of associative rings that are Lie-solvable (Engel, n-Engel, locally finite, respectively) and the properties of their adjoin subgroups are investigated.",

keywords = "Derivation Group of unit, Engel ring, Lie nilpotent ring, Local ring, Solvable group",

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AU - Bovdi, Victor

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AB - The connections between the properties of associative rings that are Lie-solvable (Engel, n-Engel, locally finite, respectively) and the properties of their adjoin subgroups are investigated.

KW - Derivation Group of unit

KW - Engel ring

KW - Lie nilpotent ring

KW - Local ring

KW - Solvable group

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M3 - Article

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SN - 1578-7303

VL - 116

JO - Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas

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ER -

Torsion subgroups, solvability and the Engel condition in associative rings

Abstract

Keywords

ASJC Scopus subject areas

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