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Solution and full classification of generalized binary functional equations of the type (3;3;0)
Authors: Halyna Krainichuk, Fedir Sokhatsky
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Abstract
Generalized binary functional quasigroup equations in two individual variables with three appearances are under consideration. There exist five classes of the equations (two equations belong to the same class if there exists a relation between sets of their solutions). The quasigroup solution sets of equations from every class are given. In addition, it is proved that every parastrophe of a quasigroup has an orthogonal mate if the quasigroup has an orthogonal mate.Vasyl Stus Donetsk National University
Department of mathematical analysis
and differential equations
21000 Vinnytsia, Ukraine
E-mail: ,
Department of mathematical analysis
and differential equations
21000 Vinnytsia, Ukraine
E-mail: ,
Fulltext
– 0.15 Mb
Contents
- Quotient Structure and Chain Conditions on Quasi Modules
- On statistical convergence in generalized Lacunary sequence spaces
- Aspects of stability for multicriteria quadratic problems of Boolean programming
- Solution and full classification of generalized binary functional equations of the type (3;3;0)
- On the solvability of a class of boundary value problems for systems of the integral equations with power nonlinearity on the whole axis
- Isohedral tilings by 8-, 10- and 12-gons for hyperbolic translation group of genus two
- Some properties of left-transitive quasigroups
- General Method for Defining Finite Non-commutative Associative Algebras of Dimension m>1
- Closure operators in modules and adjoint functors, II
- Later developments based on some ideas of Andrunachievici: Special radicals and The Lemma
- Corrigendum to "The multiplicative Zagreb co-indices on two graph operators" Bul. Acad. Științe Repub. Mold. Mat., 2016, no. 2(81), 18-26
