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pro vyhledávání: '"Fedir Sokhatsky"'
Autor:
Alla Lutsenko, Fedir Sokhatsky
Publikováno v:
Commentationes Mathematicae Universitatis Carolinae. 61:567-579
It is proved that every translation in a quasigroup has two independent parameters. One of them is a bijection of the carrier set. The second parameter is called a direction here. Properties of directions in a quasigroup are considered in the first p
Autor:
Fedir Sokhatsky, Yevhen Pirus
Publikováno v:
Вісник Донецького національного університету. Серія А: Природничі науки. :70-82
Autor:
Fedir Sokhatsky, Iryna V. Fryz
Publikováno v:
Discrete Mathematics. 340:1957-1966
We propose an algorithm for constructing orthogonal n-ary operations which is called a block composition algorithm here. Input data of the algorithm are two series of different arity operations being distributed by blocks. The algorithm consists of t
Autor:
Fedir Sokhatsky
Publikováno v:
Вісник Донецького національного університету. Серія А: Природничі науки. :84-96
Let A be an m x n matrix of variables. An n-ary operation f and m-ary operation g are said to satisfy the medial law if two results are the same: 1) an application of f to the rows of A then an application of g to the obtained column and 2) an applic
Autor:
Olena Tarkovska, Fedir Sokhatsky
Publikováno v:
Вісник Донецького національного університету. Серія А: Природничі науки. :108-118
The concept of middle linearity for isotopes of Abelian groups is introduced. If a quasigroup is one-sided linear then two of its parastrophes are left linear, two right linear and two are middle linear. The corresponding formula is given. Relations
Conference
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