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On algebras of the variety B1,1


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Resumo

By B1,1 we denote the variety of unary algebras of signature f, g which is defined by the identity fg(x) = x. In this note it is proved that B1,1 is a cover for the variety A1,1, where A1,1 is the variety defined by the identities fg(x) = x = gf(x). It is also shown that each endomorphism of a strongly connected algebra from B1,1 is an automorphism.

Sobre autores

V. Kartashov

Department of Algebra and Geometry

Autor responsável pela correspondência
Email: kartashovvk@yandex.ru
Rússia, ul. Akademicheskaya 12, Volgograd

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