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On a quasiorder on the class of monounary algebras |
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| Authors: | K ?ipková |
| Affiliation: | (1) Department of Mathematics, Faculty of Electrical Engineering and Information Technology, Slovak University of Technology, Ilkovičova 3, 812 19 Bratislava, Slovak Republic |
| 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.
Supported by grant VEGA 1/0161/03 |
| Keywords: | Monounary algebra Degree of element |
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