Bands of k-Archimedean semigroups |
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| Authors: | Stojan Bogdanović Žarko Popović Miroslav Ćirić |
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| Institution: | 1. Faculty of Economics, University of Ni?, Trg Kralja Aleksandra 11, 18000, Ni?, Serbia
2. Faculty of Sciences and Mathematics, University of Ni?, Vi?egradska 33, P.O. Box 224, 18000, Ni?, Serbia
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| Abstract: | In this paper we define the radical ϱ
k
(k∈Z
+) of a relation ϱ on an arbitrary semigroup. Also, we define various types of k-regularity of semigroups and various types of k-Archimedness of semigroups. Using these notions we describe the structure of semigroups in which ρ
k
is a band (semilattice) congruence for some Green’s relation. |
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| Keywords: | |
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