Automorphism groups of algebras of triangular matrices

DOI10.1016/0024-3795(89)90702-7zbMath0682.16021OpenAlexW2016502988MaRDI QIDQ1824018

George Phillip Barker

Publication date: 1989

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(89)90702-7

zbMATH Keywords

graphspermutation matrixsemidirect productgroup of automorphismsintegral domainNoether-Skolem theoremupper triangular n\(\times n\) matrices

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Automorphisms and endomorphisms (16W20) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Algebraic systems of matrices (15A30) Infinite automorphism groups (20B27)

Related Items (9)

Formal matrix rings: Automorphisms ⋮ Automorphism groups of formal matrix rings ⋮ Automorphisms of triangular matrices over graphs ⋮ A structure theorem for some matrix algebras ⋮ Epimorphisms of infinite triangular and unitriangular matrices. ⋮ Derivations of upper triangular matrix rings ⋮ Epimorphisms of the ring of infinite triangular matrices ⋮ On superderivations and super-biderivations of trivial extensions and triangular matrix rings ⋮ The automorphism group of a structural matrix algebra

Cites Work

• Automorphisms of matrix algebras over commutative rings
• A structure theorem for some matrix algebras
• Unnamed Item

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