D'Alembert's functional equations on monoids with an anti-endomorphism

DOI10.1007/s00025-020-01199-zzbMath1437.39006OpenAlexW3018394223MaRDI QIDQ2175152

Driss Zeglami, M. Ayoubi

Publication date: 28 April 2020

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-020-01199-z

zbMATH Keywords

irreducible representationinvolutionmultiplicative functionmonoidanti-homomorphismanti-endomorphism

Mathematics Subject Classification ID

Functional equations for functions with more general domains and/or ranges (39B52) Ordered semigroups and monoids (06F05) Functional equations for complex functions (39B32) Algebraic monoids (20M32)

Related Items (11)

A variant of d'Alembert's functional equation on semigroups with endomorphisms ⋮ A variant of d'Alembert's functional equation on semigroups with an anti-endomorphism ⋮ D'Alembert's \(\mu\)-matrix functional equation on groups with an anti-endomorphism ⋮ On anti-endomorphisms of groupoids ⋮ A functional equation for the cosine on semigroups with endomorphisms ⋮ Kannappan's integral equation with an anti-endomorphism ⋮ Wilson's functional equation with an anti-endomorphism ⋮ The algebraic small dimension lemma with an anti-homomorphism on semigroups ⋮ A functional equation originated from the product in a cubic number field ⋮ Hyers-Ulam stability of functional inequalities: a fixed point approach ⋮ D'Alembert \(\mu\)-functions on semigroups

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