Abstract
In the paper we introduce a relation on the class of monounary algebras by means of -homomorphisms. It is a quasiorder. We take a subclass of containing monounary algebras satisfying the property We characterize algebras in by the notions of a degree and properties of their -endomorphisms. We apply the results to finite monounary algebras.
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Čipková K, Jakubíková–Studenovská D (2005) Graph homomorphisms of partial monounary algebras. Mathematica Slovaca 55(2) (to appear)
Jakubíková–Studenovská, D (1998) Monounary algebras and bottleneck algebras. Algebra Universalis 40:59–72
Musilová K (2002) Graph endomorphisms of finite monounary algebras. J Electr Eng 53(12/s):115–118
Nelson E (1999) Homomorphisms of monounary algebras. Pacif J Math 82(2):427–429
Novotný M (1990) Mono-unary algebras in the work of Czechoslovak mathematicians. Archivum Mathematicum (Brno) 26(2–3):155–164
Shallon CR (1979) Nonfinitely based finite algebras derived from lattices. PhD. Dissertation, U.C.L.A
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Čipková, K. On a quasiorder on the class of monounary algebras. Soft Comput 10, 471–475 (2006). https://doi.org/10.1007/s00500-005-0520-x
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DOI: https://doi.org/10.1007/s00500-005-0520-x