Characterizations of π -t-simple ordered semigroups by their ordered idempotents
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SADHYA, Shauli, HANSDA, Kalyan. Characterizations of π -t-simple ordered semigroups by their ordered idempotents. In: Quasigroups and Related Systems, 2019, vol. 27, nr. 1(41), pp. 119-126. ISSN 1561-2848.
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Quasigroups and Related Systems
Volumul 27, Numărul 1(41) / 2019 / ISSN 1561-2848

Characterizations of π -t-simple ordered semigroups by their ordered idempotents

CZU: 512.53+512.55
MSC 2010: 06F05, 20M10.

Pag. 119-126

Sadhya Shauli, Hansda Kalyan
 
Visva Bharati University
 
 
Disponibil în IBN: 25 august 2019


Rezumat

Here we extend the notion of -groups in semigroups without order to ordered semigroups. We call them  π -t-simple ordered semigroups. Our approach allows one to see the relations between Archimedean (t-Archimedean) ordered semigroups and  π -t-simple ordered semigroups. Furthermore we show that a completely  π -regular ordered semigroup S such that for any a; b € S there exists an ordered idempotent e € S with the property that ab; brar 2 p H(e) for any r € N, is a complete semilattice of π -t-simple ordered semigroups and conversely

Cuvinte-cheie
Archimedean, completely π-regular, nil-extension, ordered idempotent, π-t-simple ordered semigroup.

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