N-fuzzy quasi-ideals in ordered semigroups
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2022-03-29 17:03
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SHABIR, Muhammad, KHAN, Asghar. N-fuzzy quasi-ideals in ordered semigroups. In: Quasigroups and Related Systems, 2009, vol. 17, nr. 2(22), pp. 237-252. ISSN 1561-2848.
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Quasigroups and Related Systems
Volumul 17, Numărul 2(22) / 2009 / ISSN 1561-2848

N-fuzzy quasi-ideals in ordered semigroups

Pag. 237-252

Shabir Muhammad, Khan Asghar
 
 
 
Disponibil în IBN: 13 decembrie 2013


Rezumat

In this paper, we introduce the concept of N-fuzzy quasi-ideals in ordered semigroups and investigate the basic theorem of quasi-ideals of ordered semigroups in terms of N-fuzzy quasi-ideals. We characterize left (resp. right) regular and completely regular ordered semigroups in terms of N-fuzzy quasi-ideals. We dene semiprime N-fuzzy quasi-ideals and characterize completely regular ordered semigroups in terms of semiprime N-fuzzy quasi-ideals. We provide characterizations of some semilattices of left and right simple semigroups in terms of N-fuzzy quasi-ideals.

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