Automorphism groups of generalized triangular matrix rings.

DOI10.1016/J.LAA.2010.10.007zbMath1222.16017OpenAlexW1983657257MaRDI QIDQ624364

Ánh, Phạm Ngọc, Leon van Wyk

Publication date: 9 February 2011

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

Full work available at URL: https://doi.org/10.1016/j.laa.2010.10.007

zbMATH Keywords

endomorphism ringsautomorphism groupsbimodule isomorphismstriangular matrix ringsstrongly indecomposable rings

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Automorphisms and endomorphisms (16W20) Algebraic systems of matrices (15A30) Bimodules in associative algebras (16D20)

Related Items (15)

Automorphisms, \(\sigma\)-biderivations and \(\sigma\)-commuting maps of triangular algebras ⋮ GROUP OF AUTOMORPHISMS OF ONE CLASS OF FORMAL MATRIX ALGEBRAS ⋮ Lie σ-derivations of triangular algebras ⋮ Isomorphisms between Morita context rings ⋮ Idempotents and structures of rings ⋮ Isomorphisms of formal matrix rings with zero trace ideals ⋮ Isomorphisms between strongly triangular matrix rings. ⋮ \( \sigma \)-centralizers of triangular algebras ⋮ Formal matrix rings: Automorphisms ⋮ Peirce decompositions, idempotents and rings ⋮ Isomorphisms of formal matrix incidence rings ⋮ Automorphism groups of formal matrix rings ⋮ Centralizing traces with automorphisms on triangular algebras ⋮ Jordan σ-derivations of triangular algebras ⋮ Centralizing traces and Lie-type isomorphisms on generalized matrix algebras: a new perspective

Cites Work

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• A note on algebra automorphisms of triangular matrices over commutative rings
• Automorphisms of upper triangular matrix rings
• Artinian rings with restricted primeness conditions
• Complete blocked triangular matrix rings over a Noetherian ring
• The automorphism group of a structural matrix algebra
• Triangular matrix representations
• Isomorphism of generalized triangular matrix-rings and recovery of tiles
• Do isomorphic structural matrix rings have isomorphic graphs?
• The isomorphism problem for incidence rings

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