Endomorphisms of the poset of idempotent matrices

DOI10.1016/j.jalgebra.2019.07.007OpenAlexW2960831471MaRDI QIDQ2318181

Peter Šemrl

Publication date: 14 August 2019

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2019.07.007

zbMATH Keywords

orthomodular posetdivision ringsupremumorder preserving mapposet of idempotent matrices

Mathematics Subject Classification ID

Algebraic systems of matrices (15A30) Ordered sets (06A99)

Related Items

Triangular idempotent matrices over a general ring, Maps that strongly preserve \(\lambda \)-scrambling matrices, Maps on idempotent operators with infinite-dimensional kernel

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The optimal version of Hua's fundamental theorem of geometry of square matrices -- the low dimensional case
• Endomorphisms of matrix semigroups over division rings.
• An elementary proof of the fundamental theorem of projective geometry
• Orthogonality preserving transformations on indefinite inner product spaces: Generalization of Uhlhorn's version of Wigner's theorem
• Applying projective geometry to transformations on rank one idempotents
• Automorphisms of the poset of skew projections
• Maps on idempotent matrices over division rings
• Hua's fundamental theorem of geometry of rectangular matrices over EAS division rings
• Geometry of symmetric matrices over any field with characteristic other than two
• On the geometry of algebraic homogeneous spaces
• Geometries of Matrices. II. Study of Involutions in the Geometry of Symmetric Matrices
• Geometries of Matrices. III. Fundamental Theorems in the Geometries of Symmetric Matrices
• Automorphisms of the Field of Complex Numbers
• Algebraic Homogeneous Spaces over Fields of Characteristic Two
• Geometries of Matrices. I 1 Arithmetical Construction