Decompositions of ordered semigroups into a chain of k-Archimedean ordered semigroups | Zendy

Zhu Qingshun | Zendy; Žarko Popović | Zendy

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Decompositions of ordered semigroups into a chain of k-Archimedean ordered semigroups

Author(s) -

Zhu Qingshun,

Žarko Popović

Publication year - 2016

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil1610771q

Subject(s) - mathematics , semigroup , ideal (ethics) , chain (unit) , filter (signal processing) , partially ordered set , pure mathematics , combinatorics , discrete mathematics , physics , philosophy , epistemology , astronomy , computer science , computer vision

In this paper, we rst dene various types of k-regularity of ordered semigroups and various types of k-Archimedness of ordered semigroups. Also, we dene the relations T(k); T(k)l ; T(k)r ; T(k)t and T(k)b (k in Z+) of on an ordered semigroup. Using these notions, lter, and the radical subsets of ideal, left ideal and bi-ideal of ordered semigroups we describe chains of k-archimedean (left k-archimedean, t-k-archimedean) ordered subsemigroups. .

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