A variant of the quadratic functional equation on semigroups

Abstract: Let S be a semigroup, let H be an abelian group which is uniquely 2-divisible, and let σ be an involutive automorphism of S. We express the solutions : S → H of the following variant of the quadratic functional equation (xy)+𝑓(σ(y)x)=2𝑓(x...

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Autores principales:	Fadli,B., Zeglami,D., Kabbaj,S.
Lenguaje:	English
Publicado:	Universidad Católica del Norte, Departamento de Matemáticas 2018
Materias:	Symmetrized additive Cauchy equation quadratic equation additive function semigroup.
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172018000100045
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spelling	oai:scielo:S0716-091720180001000452018-03-13A variant of the quadratic functional equation on semigroupsFadli,B.Zeglami,D.Kabbaj,S. Symmetrized additive Cauchy equation quadratic equation additive function semigroup. Abstract: Let S be a semigroup, let H be an abelian group which is uniquely 2-divisible, and let σ be an involutive automorphism of S. We express the solutions : S → H of the following variant of the quadratic functional equation (xy)+𝑓(σ(y)x)=2𝑓(x)+2𝑓(y), x,y ∈ S, in terms of bi-additive maps and solutions of the symmetrized additive Cauchy equation.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.37 n.1 20182018-03-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172018000100045en10.4067/S0716-09172018000100045
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Symmetrized additive Cauchy equation quadratic equation additive function semigroup.
spellingShingle	Symmetrized additive Cauchy equation quadratic equation additive function semigroup. Fadli,B. Zeglami,D. Kabbaj,S. A variant of the quadratic functional equation on semigroups
description	Abstract: Let S be a semigroup, let H be an abelian group which is uniquely 2-divisible, and let σ be an involutive automorphism of S. We express the solutions : S → H of the following variant of the quadratic functional equation (xy)+𝑓(σ(y)x)=2𝑓(x)+2𝑓(y), x,y ∈ S, in terms of bi-additive maps and solutions of the symmetrized additive Cauchy equation.
author	Fadli,B. Zeglami,D. Kabbaj,S.
author_facet	Fadli,B. Zeglami,D. Kabbaj,S.
author_sort	Fadli,B.
title	A variant of the quadratic functional equation on semigroups
title_short	A variant of the quadratic functional equation on semigroups
title_full	A variant of the quadratic functional equation on semigroups
title_fullStr	A variant of the quadratic functional equation on semigroups
title_full_unstemmed	A variant of the quadratic functional equation on semigroups
title_sort	variant of the quadratic functional equation on semigroups
publisher	Universidad Católica del Norte, Departamento de Matemáticas
publishDate	2018
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172018000100045
work_keys_str_mv	AT fadlib avariantofthequadraticfunctionalequationonsemigroups AT zeglamid avariantofthequadraticfunctionalequationonsemigroups AT kabbajs avariantofthequadraticfunctionalequationonsemigroups AT fadlib variantofthequadraticfunctionalequationonsemigroups AT zeglamid variantofthequadraticfunctionalequationonsemigroups AT kabbajs variantofthequadraticfunctionalequationonsemigroups
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A variant of the quadratic functional equation on semigroups

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