شماره ركورد كنفرانس :
3502
عنوان مقاله :
Balanced Functional Equations
Author/Authors :
Amir Ehsani Department of Mathematics - Mahshahr Branch, Islamic Azad University, Mahshahr, Iran , Aleksandar Krapeˇz Mathematical Institute of the Serbian Academy of Sciences and Arts, Belgrade, Serbia , Yuri Movsisyan Department of Mathematics and Mechanics - Yerevan State University, Yerevan, Armenia
كليدواژه :
Quasigroup , Medial algebra , Paramedial algebra , Pair operation , Functional equation
عنوان كنفرانس :
چهل و پنجمين كنفرانس رياضي ايران
چكيده لاتين :
We consider 14 balanced quadratic functional equations with four object variables for a pair (f, g) of binary quasigroup operations. We obtain a linear representation for the binary algebras (A, f, g) over an abelian group (A, +) in which the pair (f, g) of operations satisfies one of these balanced functional equation.
