Institutul de Matematică şi Informatică "Vladimir Andrunachievici"
Universitatea de Stat din MoldovaRO EN
On a Functional Equation with a Group Isotopy Property.
Authors: Raisa Kovali
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Abstract
The set of all solutions of functional equation F1(F2(z; x); F3(e; z)) = F4(F5(x; y); x)) on quasigroup operations of an arbitrary fixed set are found. The result implies W.Dudek's theorem [1], which presents the operation in a quasigroup satisfying the identity xy·x = zx·yz.Fulltext
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Contents
- On orthogonality of binary operations and squares.
- On the lattice of closed classes of modules.
- Lie algebras of the operators and three-dimensional polynomial differential systems.
- On a Functional Equation with a Group Isotopy Property.
- Left exact radicals in module categories over principal ideal domains.
- An approximate solution of the Fredholm type equation of the second kind for any λ ≠ 0
- On a criterion of normality for mappings.
- Strong Stability of Linear Symplectic Actions and the Orbit Method.
