Isomorphisms between Morita context rings

DOI10.1080/03081087.2011.611946zbMath1258.16040arXiv1106.6192OpenAlexW2155734839MaRDI QIDQ2895698

Crina Boboc, Leon van Wyk, Sorin Dascalescu

Publication date: 4 July 2012

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

Full work available at URL: https://arxiv.org/abs/1106.6192

zbMATH Keywords

bimodulesMorita contextsautomorphism groupsautomorphismsgraded ringsMorita ringsgeneralized matrix ringssemigraded isomorphisms

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Module categories in associative algebras (16D90) Automorphisms and endomorphisms (16W20) Algebraic systems of matrices (15A30) Graded rings and modules (associative rings and algebras) (16W50) Bimodules in associative algebras (16D20)

Related Items (13)

GROUP OF AUTOMORPHISMS OF ONE CLASS OF FORMAL MATRIX ALGEBRAS ⋮ Grothendieck and Whitehead groups of formal matrix rings ⋮ Isomorphisms of formal matrix rings with zero trace ideals ⋮ Centralizing traces and Lie triple isomorphisms on generalized matrix algebras ⋮ Formal matrix rings: Automorphisms ⋮ On \(k\)-semi-centralizing maps of generalized matrix algebras ⋮ Peirce decompositions, idempotents and rings ⋮ Isomorphisms of formal matrix incidence rings ⋮ Automorphisms of formal matrix algebras ⋮ Automorphism groups of formal matrix rings ⋮ Centralizing traces with automorphisms on triangular algebras ⋮ Connections Techniques in Graded Morita Rings Theory ⋮ Centralizing traces and Lie-type isomorphisms on generalized matrix algebras: a new perspective

Cites Work

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• Automorphism groups of generalized triangular matrix rings.
• Automorphism groups of certain algebras of triangular matrices
• The group of automorphisms of certain subalgebras of matrix algebras
• A note on algebra automorphisms of triangular matrices over commutative rings
• Automorphisms of upper triangular matrix rings
• Automorphisms of algebras of upper triangular matrices
• Automorphisms of matrix algebras over commutative rings
• The automorphism group of a structural matrix algebra
• Triangular matrix representations
• Isomorphism of generalized triangular matrix-rings and recovery of tiles
• Three automorphism theorems for triangular matrix algebras
• Do isomorphic structural matrix rings have isomorphic graphs?

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