Strong Retracts of Unary Algebras |
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Authors: | Rozalia Sz. Madarasz Dragan Masulovic Boza Tasic |
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Affiliation: | (1) Institute of Mathematics, University of Novi Sad, Trg D. Obradovica 4, 21000 Novi Sad, Yugoslavia |
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Abstract: | This paper introduces the notion of a strong retract of an algebra and then focuses on strong retracts of unary algebras. We characterize subuniverses of a unary algebra which are carriers of its strong retracts. This characterization enables us to describe the poset of strong retracts of a unary algebra under inclusion. Since this poset is not necessarily a lattice, we give a necessary and sufficient condition for the poset to be a lattice, as well as the full description of the poset. |
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Keywords: | inflations of algebras retracts of algebras unary algebras |
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