The automorphism group of a structural matrix algebra

DOI10.1016/0024-3795(93)90255-MzbMath0810.16027MaRDI QIDQ1316173

Sônia P. Coelho

Publication date: 17 April 1995

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

zbMATH Keywords

automorphism groupautomorphismsinner automorphismequivalence relationalgebra of upper triangular matricesalgebra of \(n \times n\) matricesreflexive and transitive relationstructural matrix algebratransitive function

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Automorphisms and endomorphisms (16W20) Algebraic systems of matrices (15A30) Infinite automorphism groups (20B27)

Related Items (25)

Lie higher derivations of incidence algebras ⋮ Link between a natural centralizer and the smallest essential ideal in structural matrix rings ⋮ BINOMIAL ALGEBRAS ⋮ Isomorphisms between Morita context rings ⋮ The coalgebra automorphism group of Hopf algebra \(k_q[x,x^{-1},y\).] ⋮ Automorphism groups of generalized triangular matrix rings. ⋮ Formal matrix rings: Automorphisms ⋮ Nonlinear Jordan higher derivations of incidence algebras ⋮ MATRIX RINGS OF INVARIANT SUBSPACES ⋮ Frobenius structural matrix algebras. ⋮ Square-free algebras and their automorphism groups ⋮ Structural matrix algebras, generalized flags, and gradings ⋮ On automorphisms of groups, rings, and algebras ⋮ Isomorphisms of formal matrix incidence rings ⋮ The Picard group of a structural matrix algebra ⋮ Solution of the ℐ₂-radical problem in structural matrix near-rings ⋮ Generalized blocked triangular matrix rings associated with finite abelian centralizer near-rings ⋮ Square-Free Rings and Their Automorphism Groups ⋮ Higher derivations of finitary incidence algebras ⋮ Jordan higher derivations of incidence algebras ⋮ Automorphisms and involutions on incidence algebras ⋮ Classifying good gradings on structural matrix algebras ⋮ Matrix rings satisfying column sum conditions versus structural matrix rings ⋮ Automorphosms of infinite dimensional souare-free algebras ⋮ Square-free rings

Cites Work

• Unnamed Item
• Unnamed Item
• Derivations of special subrings of matrix rings and regular graphs
• The group of automorphisms of certain subalgebras of matrix algebras
• Automorphisms of upper triangular matrix rings
• Automorphisms of algebras of upper triangular matrices
• Automorphisms of matrix algebras over commutative rings
• Automorphism groups of algebras of triangular matrices
• RADICALS OF STRUCTURAL MATRIX RINGS
• Maximal left ideals in structural matrix rings

This page was built for publication: The automorphism group of a structural matrix algebra