Purity of ideals and generalized ideals on ordered semigroups
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512.533.5 (5)
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CHANGPHAS, Thawhat. Purity of ideals and generalized ideals on ordered semigroups. In: Quasigroups and Related Systems, 2018, vol. 26, nr. 2(40), pp. 185-196. ISSN 1561-2848.
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Quasigroups and Related Systems
Volumul 26, Numărul 2(40) / 2018 / ISSN 1561-2848

Purity of ideals and generalized ideals on ordered semigroups

CZU: 512.533.5
MSC 2010: 06F05

Pag. 185-196

Changphas Thawhat,
 
Khon Kaen University
 
 
Disponibil în IBN: 18 februarie 2019


Rezumat

The purpose of this paper is to study purity of ideals and of generalized ideals of an ordered semigroup, a semigroup together with a partial order that is compatible with the semigroup operation.

Cuvinte-cheie
semigroup, ordered semigroup, purity, two-sided ideal, globally idempotent ideal, completely ideal, bi-ideal, J-pure (T-pure) ideal, J-pure (T-pure) ordered semigroup The research of the rst author is supported by the Centre of Excellence in Mathematics, the Commission on Higher Education, Thailand. And by the Faculty of Science, Khon Kaen University, Khon Kaen, Thailand.

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