Email this article On algebras of the variety B1,1
- Authors: Kartashov V.K.1
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Affiliations:
- Department of Algebra and Geometry
- Issue: Vol 38, No 4 (2017)
- Pages: 660-663
- Section: Article
- URL: https://bakhtiniada.ru/1995-0802/article/view/199604
- DOI: https://doi.org/10.1134/S1995080217040102
- ID: 199604
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Abstract
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.
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About the authors
V. K. Kartashov
Department of Algebra and Geometry
Author for correspondence.
Email: kartashovvk@yandex.ru
Russian Federation, ul. Akademicheskaya 12, Volgograd
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