On Categorical Equivalence Between Formations of Monounary Algebras


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Abstract

A formation is a class of algebras that is closed under homomorphic images and finite subdirect products. Every formation can be considered as a category. We prove that two formations of monounary algebras with finitely many cycles are equivalent as categories if and only if they coincide.

About the authors

A. L. Rasstrigin

Volgograd State Socio-Pedagogical University

Author for correspondence.
Email: rasal@fizmat.vspu.ru
Russian Federation, pr. Lenina 27, Volgograd, 400066

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