Isomorphisms of general linear groups over rings

DOI10.1016/0021-8693(85)90029-8zbMath0577.20034OpenAlexW2006574718MaRDI QIDQ1065936

Michael L. Bolla

Publication date: 1985

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(85)90029-8

zbMATH Keywords

general linear groupsmatrix ringsstandard isomorphisms

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Automorphisms of infinite groups (20E36) Linear algebraic groups over adèles and other rings and schemes (20G35)

Related Items (2)

Linear groups over general rings. I: Generalities. ⋮ Homomorphisms of linear groups over rings

Cites Work

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• Isomorphisms between endomorphism rings of progenerators
• Isomorphisms of a complete linear group over an associative ring
• Automorphisms of matrix algebras over commutative rings
• Category equivalences and linear groups over rings
• A general isomorphism theory for linear groups
• Automorphisms of the groups SL//3(K), GL//3(K)
• Automorphisms of separable algebras
• 𝑅-linear endomorphisms of (𝑅)_{𝑛} preserving invariants
• Automorphisms of GL n (R)
• Automorphisms of GL n (R)
• AUTOMORPHISMS OF MATRIX GROUPS OVER COMMUTATIVE RINGS

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