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Zhu, QingShun; PopoviÄ, Žarko
Filomat, 01/2016, Letnik: 30, Å tevilka: 10Journal Article
In this paper, we first define various types of š-regularity of ordered semigroups and various types of š-Archimedness of ordered semigroups. Also, we define the relations Ļ ( k ) , Ļ l ( k ) , Ļ r ( k ) , Ļ t ( k ) and Ļ b ( k ) ( k ā Z + ) on an ordered semigroup. Using these notions, filter, and radical subsets of an ideal, left ideal and bi-ideal of ordered semigroups we describe chains of š-Archimedean (left š-Archimedean, š”-š-Archimedean) ordered subsemigroups.
