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On orthogonality of binary operations and squares.
Authors: Gary L. Mullen, Şcerbacov Victor
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Abstract
Orthogonality of a pair of binary groupoids, left quasigroups and quasigroups from some points of view is studied. Necessary and sufficient conditions of orthogonality of a finite quasigroup and any its parastrophe (conjugate quasigroup in other terminology), including ones in language of quasi-identities, are given. New concept of gisotopy, which generalizes the concept of isotopy, is defined. There is information on quasigroups with self-orthogonal conjugates.E-mail: ,
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.
