On (m; n)-regular and intra-regular ordered semigroups
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512.53+512.543+519.7 (1)
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LUANGCHAISRI, Panuwat, CHANGPHAS, Thawhat. On (m; n)-regular and intra-regular ordered semigroups. In: Quasigroups and Related Systems, 2019, vol. 27, nr. 2(42), pp. 267-272. ISSN 1561-2848.
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Quasigroups and Related Systems
Volumul 27, Numărul 2(42) / 2019 / ISSN 1561-2848

On (m; n)-regular and intra-regular ordered semigroups

CZU: 512.53+512.543+519.7

Pag. 267-272

Luangchaisri Panuwat, Changphas Thawhat
 
Khon Kaen University
 
 
Disponibil în IBN: 25 martie 2020


Rezumat

Let m; n be non-negative integers. A subsemigroup A of an ordered semigroup (S; ;6) is called an (m; n)-ideal of S if AmSAn  A, and if x 2 A and y 2 S such that y  x, then y 2 A. In this paper, various types of such (m; n)-ideals are described.