Isomorphisms of certain locally nilpotent finitary groups and associated rings.

DOI10.1023/B:ACAP.0000027533.59937.14zbMath1055.16021OpenAlexW2162725835MaRDI QIDQ1876566

Vladimir M. Levchuk, Feride Kuzucuoglu

Publication date: 20 August 2004

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/b:acap.0000027533.59937.14

zbMATH Keywords

chainsadjoint groupsradical ringsassociated Lie ringslocally nilpotent ringsstandard isomorphismsfinitary matrix rings

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Automorphisms and endomorphisms (16W20) Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Other matrix groups over rings (20H25)

Related Items (15)

Isomorphisms of the unitriangular groups and associated Lie rings for the exceptional dimen\-sions. ⋮ Unnamed Item ⋮ The normal structure of the unipotent subgroup in Lie type groups and its extremal subgroups. ⋮ Extremal and maximal normal Abelian subgroups of a maximal unipotent subgroup in groups of Lie type. ⋮ Automorphisms and model-theory questions for nilpotent matrix groups and rings. ⋮ Unnamed Item ⋮ JORDAN ISOMORPHISMS OF RADICAL FINITARY MATRIX RINGS ⋮ DERIVATIONS OF THE LOCALLY NILPOTENT MATRIX RINGS ⋮ Subgroups of a finitary linear group ⋮ Elementary equivalence and isomorphisms of locally nilpotent matrix groups and rings. ⋮ Epimorphisms of infinite triangular and unitriangular matrices. ⋮ Jordan Derivations on Strictly Triangular Matrix Rings ⋮ Automorphisms and normal structure of unipotent subgroups of finitary Chevalley groups. ⋮ Nonfinitary algebras and their automorphism groups ⋮ Ideals of some matrix rings¹

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