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2016•Journal of Siberian Federal University Mathematics & PhysicsOpen access

Minimal Algebras of Unary Multioperations

Nikolay A. Peryazev

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Abstract

A matrix impression of algebras of unary multioperations of a finite rank and the list of the identities which are carried out in such algebras are gained.These results are used for the proof of the main result: descriptions of the minimal algebras of unary multioperations of a finite rank.As a result the list of all such minimal algebras for small ranks is received.

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A matrix impression of algebras of unary multioperations of a finite rank and the list of the identities which are carried out in such algebras are gained.These results are used for the proof of the main result: descriptions of the minimal algebras of unary multioperations of a finite rank.As a result the list of all such minimal algebras for small ranks is received.

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Available abstract

A matrix impression of algebras of unary multioperations of a finite rank and the list of the identities which are carried out in such algebras are gained.These results are used for the proof of the main result: descriptions of the minimal algebras of unary multioperations of a finite rank.As a result the list of all such minimal algebras for small ranks is received.

Key concepts: Unary operation, Mathematics, Computer science, Combinatorics

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