Automorphisms of the poset of upper triangular idempotent matrices

DOI10.1080/03081080410001711834zbMath1068.15016OpenAlexW2025737420MaRDI QIDQ4657854

Ajda Fošner

Publication date: 14 March 2005

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

Full work available at URL: https://doi.org/10.1080/03081080410001711834

zbMATH Keywords

automorphismposetupper triangular idempotent matrix

Mathematics Subject Classification ID

Algebraic systems of matrices (15A30) Algebraic aspects of posets (06A11)

Related Items

Maps on matrix spaces, Maps on spaces of symmetric matrices preserving idempotence, Triangular idempotent matrices over a general ring, Idempotent elements determined matrix algebras, Automorphisms of \(\mathbf M_n(\mathbb{D})\), partially ordered by rank subtractivity ordering, Idempotence preserving maps on space of triangular matrices, Order preserving maps on the poset of upper triangular idempotent matrices, Idempotents in triangular matrix rings

Cites Work

• Idempotents in nest algebras
• Multiplicative semigroup automorphisms of upper triangular matrices over rings
• Some general techniques on linear preserver problems
• Orthogonality preserving transformations on indefinite inner product spaces: Generalization of Uhlhorn's version of Wigner's theorem
• Automorphisms of the poset of skew projections
• Rigid Embedding of Simple Groups in the General Linear Group
• Some linear preserver problems on upper triangular matrices