Anti-automorphisms and involutions on (finitary) incidence algebras

DOI10.1080/03081087.2011.576393zbMath1247.16037OpenAlexW2002817303MaRDI QIDQ2879646

Rosali Brusamarello, Érica Z. Fornaroli, Ednei Aparecido jun. Santulo

Publication date: 29 March 2012

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

Full work available at URL: https://doi.org/10.1080/03081087.2011.576393

zbMATH Keywords

involutionsautomorphismspartially ordered setsincidence algebraslocally finite posetsanti-automorphismsquasi-ordered setsstructural matrices

Mathematics Subject Classification ID

Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Endomorphism rings; matrix rings (16S50) Automorphisms and endomorphisms (16W20) Combinatorics of partially ordered sets (06A07) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Algebraic aspects of posets (06A11)

Related Items

Nonlinear Jordan derivations of finitary incidence algebras, Proper Lie automorphisms of incidence algebras, Involutions of the second kind on finitary incidence algebras, Involutions in algebras of upper-triangular matrices, Nonlinear Jordan derivations of incidence algebras, Indecomposable ideals of finitary incidence algebras, Classification of involutions on finitary incidence algebras, Higher derivations of finitary incidence algebras, Nonlinear Lie derivations of incidence algebras, Potent preservers of incidence algebras, Anti-isomorphisms and involutions on the idealization of the incidence space over the finitary incidence algebra, Multiplicative Automorphisms of Incidence Algebras, Nonlinear Lie derivations of incidence algebras of finite rank, Lie automorphisms of incidence algebras

Cites Work

• Involutions for upper triangular matrix algebras.
• Involutions in incidence algebras.
• Finitary Incidence Algebras
• Automorphisms and derivations of incidence algebras