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Representations of positional algebras
Authors: Trokhimenko V. S.
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Abstract
In the paper we consider representations of positional algebras in the sense of V. D. Belousov [1] by partial multiplace functions. We prove that any such representation has a special constructionTrokhimenko V. S.
Department of Mathematics,
Pedagogical University,
21100 Vinnitsa,
Ukraine.
E-mail:
Department of Mathematics,
Pedagogical University,
21100 Vinnitsa,
Ukraine.
E-mail:
Fulltext
– 0.21 Mb
Contents
- On B-algebras and quasigroups
- Non-associative algebraic system in cryptology. Protection against "meet in the middle" attack
- On some old and new problems in n-ary groups
- Transversals in groups. 3.Semidirect product of a transversal operation and subgrouop
- Subtree-counting loops
- On quadratic B-algebras
- Algebras of vector-valued functions
- Representations of positional algebras
- The abstract groups (3, 3 | 3, p), their subgroup structure, and their significance for Paige loops
