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 SM ISO690:2012SHABIR, 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 | ||||||
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| Pag. 237-252 | ||||||
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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 de ne 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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