On Categorical Equivalence Between Formations of Monounary Algebras
- Authors: Rasstrigin A.L.1
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Affiliations:
- Volgograd State Socio-Pedagogical University
- Issue: Vol 39, No 1 (2018)
- Pages: 138-141
- Section: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/201156
- DOI: https://doi.org/10.1134/S1995080218010225
- ID: 201156
Cite item
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.
Keywords
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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