Nonfinitary algebras and their automorphism groups
type: Item
instance of: scholarly article
title: Nonfinitary algebras and their automorphism groups
zbMATH Open document ID: 1505.16037
DOI: 10.1134/S0037446622010074
author: I. N. Zotov
author: Vladimir M. Levchuk
published in: Siberian Mathematical Journal
publication date: 2022-01-28T00:00:00Z
Mathematics Subject Classification ID: 16S50
Mathematics Subject Classification ID: 16W20
Mathematics Subject Classification ID: 17B60
Mathematics Subject Classification ID: 20B27
zbMATH DE Number: 7466387
zbMATH Keywords: nil-triangular subalgebra
zbMATH Keywords: nonfinitary generalizations
zbMATH Keywords: radical ring
zbMATH Keywords: associated Lie ring
zbMATH Keywords: adjoint group
zbMATH Keywords: automorphism group
zbMATH Keywords: local automorphism
MaRDI profile type: Publication
cites work: Q5840095
cites work: Structure Theory of Simple Rings Without Finiteness Assumptions
cites work: Structure theory for algebraic algebras of bounded degree
cites work: Q5828016
cites work: Q4056148
cites work: Some locally nilpotent rings and their adjoined groups
cites work: Isomorphisms of certain locally nilpotent finitary groups and associated rings.
cites work: Q3961016
cites work: Sylow subgroups of the Chevalley groups and associated (weakly) finitary groups and rings.
cites work: Hypercentral automorphisms of nil-triangular subalgebras in Chevalley algebras
cites work: Q3127216
cites work: On an infinite-dimensional group over a finite field
cites work: Q3338441
cites work: Parabolic subgroups of Vershik-Kerov’s group
cites work: Parabolic subgroups of groups of column-finite infinite matrices.
cites work: Q4602822
cites work: Bijective maps of infinite triangular and unitriangular matrices preserving commutators
cites work: Non-finitary generalizations of nil-triangular subalgebras of Chevalley algebras
cites work: Local Automorphisms of Nil-triangular Subalgebras of Classical Lie Type Chevalley Algebras
cites work: Q5562621
cites work: On Total Nilpotent Algebras
cites work: The automorphism group of McLain's characteristically simple group
cites work: Connections between a unitriangular group and certain rings. II: Groups of automorphisms
cites work: The automorphism group of certain radical matrix rings
cites work: Extremal and maximal normal Abelian subgroups of a maximal unipotent subgroup in groups of Lie type.
cites work: Q3198400
cites work: On Local Automorphisms of sl2
cites work: Local automorphisms
cites work: Local automorphisms and local derivations of nilpotent matrix algebras
cites work: Local automorphisms of nilpotent algebras of matrices of small orders.
full work available at URL: s0037446622010074
OpenAlex ID: W4210637628
description: scientific article; zbMATH DE number 7466387