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About separable self-orthogonal $n$-operations. (English)
Authors: Syrbu P. N.
Abstract
Let $Q(\cdot)$ be a binary groupoid. A $n$-operation $A$ defined on the set $Q$ is called separable by $(\cdot)$ if $A(x\cdot y,\ldots,x\cdot y)= {A(x,\ldots,x)}\cdot{A(y,\ldots,y)}$ for every $x,y\in Q$. Each self-orthogonal $n$-operation is a principal isotope of a separable self-orthogonal $n$-operation. Some connections between idempotence and the spectrum of separable self-orthogonal $n$-operations are considered.Institute of Mathematis of Academy of Sciences of Moldova
Academy str. 5, Kishinev MD-2028, Moldova
Academy str. 5, Kishinev MD-2028, Moldova
Contents
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- Behaviour of the stresses near plane wedge-shaped defects. (English)
- New classes of cubic systems with seven limit cycles. (English)
- Note on the stability of non-selfadjoint operator-difference schemes. (English)
- On exact solutions of the heat equation with a nonlinear source-sink of a special type. (Russian)
- About separable self-orthogonal $n$-operations. (English)
- Properties of topological modules free in some classes. I. (English)
- Quadratic systems with dicritical points. (Russian)
- On the structure of partitions of a space into polyhedral bodies. (Russian)
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