Classification of involutions on finitary incidence algebras

DOI10.1142/S0218196714500477zbMath1319.16027OpenAlexW2116750526MaRDI QIDQ5175602

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

Publication date: 24 February 2015

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218196714500477

zbMATH Keywords

inner automorphismsinvolutionspartially ordered setslocally finite posetsfinitary incidence algebras

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, The lengths of matrix incidence algebras over small finite fields, Lie derivations of incidence algebras, Lie-type derivations of finitary incidence algebras, Proper Lie automorphisms of incidence algebras, Involutions of the second kind on finitary incidence algebras, Higher derivations of finitary incidence algebras, Anti-isomorphisms and involutions on the idealization of the incidence space over the finitary incidence algebra

Cites Work

• Anti-automorphisms and involutions on (finitary) incidence algebras
• Classification of Involutions on Incidence Algebras
• Finitary Incidence Algebras
• Multiplicative Automorphisms of Incidence Algebras
• Structure of incidence algebras and their automorphism groups
• Automorphisms and derivations of incidence algebras