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Almost associative operations generating a minimal clone

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Waldhauser T.

Discussiones Mathematicae - General Algebra and Applications

2006

tom 26

nr 1

45-73

Characterizations of 'almost associative' binary operations generating a minimal clone are given for two interpretations of the term 'almost associative'. One of them uses the associative spectrum, the other one uses the index of nonassociativity to measure how far an operation is from being associative.

Cauchy type functional equations related to some associative rational functions

100%

Domańska K.

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica

2019

tom 18

145-156

L. Losonczi [4] determined local solutions of the generalized Cauchy equation f(F(x, y))= f(x) + f(y) on components of the denition of a given associative rational function F. The class of the associative rational function was described by A. Chéritat [1] and his work was followed by paper [3] of the author. The aim of the present paper is to describe local solutions of the equation considered for some singular associative rational functions.

Ograniczanie wyników

1 Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica

1 Discussiones Mathematicae - General Algebra and Applications

1 Domańska K.

1 Waldhauser T.

1 2019

1 2006

Wyniki wyszukiwania

Almost associative operations generating a minimal clone

Cauchy type functional equations related to some associative rational functions