Automorphisms and involutions on incidence algebras

DOI10.1080/03081087.2010.496113zbMath1247.16038OpenAlexW1993607767MaRDI QIDQ3104557

David W. Lewis, Rosali Brusamarello

Publication date: 14 December 2011

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

Full work available at URL: https://doi.org/10.1080/03081087.2010.496113

zbMATH Keywords

involutionspartially ordered setsincidence algebraslocally finite posetsanti-automorphisms

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

Lie higher derivations of incidence algebras, 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, Involutions in algebras of upper-triangular matrices, On the lengths of matrix incidence algebras with radicals of square zero, Identities with involutions on incidence algebras, Nonlinear Jordan higher derivations of incidence algebras, Isomorphisms of formal matrix incidence rings, Incidence monoids: automorphisms and complexity, Lie n-derivations of incidence algebras, Nonlinear Lie derivations of incidence algebras, Potent preservers of incidence algebras, Lie triple derivations of incidence algebras, Jordan higher derivations of incidence algebras, Anti-isomorphisms and involutions on the idealization of the incidence space over the finitary incidence algebra, Nonlinear Lie derivations of incidence algebras of finite rank, Rings that are Morita equivalent to their opposites.

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