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2017•Communications in AlgebraRequires access

Reconstructability of a monounary algebra from its second centralizer

Miroslava Černegová, Danica Jakubı́ková-Studenovská

Open publisher page 3 citations

Abstract

The paper deals with monounary algebras and their first and second centralizers. First we show that operations are equivalent with respect to the first centralizer if and only if they are equivalent with respect to the second centralizer. We find necessary and sufficient conditions for an operation when the operation is uniquely determined by its centralizer. In this case, a sequence of steps for a description of the operation is presented.

About this research paper

What this paper is about

The paper deals with monounary algebras and their first and second centralizers. First we show that operations are equivalent with respect to the first centralizer if and only if they are equivalent with respect to the second centralizer. We find necessary and sufficient conditions for an operation when the operation is uniquely determined by its centralizer. In this case, a sequence of steps for a description of the operation is presented.

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OpenAlex reports 3 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

The paper deals with monounary algebras and their first and second centralizers. First we show that operations are equivalent with respect to the first centralizer if and only if they are equivalent with respect to the second centralizer. We find necessary and sufficient conditions for an operation when the operation is uniquely determined by its centralizer. In this case, a sequence of steps for a description of the operation is presented.

Key concepts: Centralizer and normalizer, Mathematics, Pure mathematics, Sequence (biology), Algebra over a field, Biology, Genetics

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