𝒩-Fuzzy Ideals in Ordered Semigroups
We introduce the concept of 𝒩-fuzzy left (right) ideals in ordered semigroups and characterize ordered semigroups in terms of 𝒩-fuzzy left (right) ideals. We characterize left regular (right regular) and left simple (right simple) ordered semigroups in terms of 𝒩-...
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| Format: | Article |
| Language: | English |
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Wiley
2009-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2009/814861 |
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| author | Asghar Khan Young Bae Jun Muhammad Shabir |
| author_facet | Asghar Khan Young Bae Jun Muhammad Shabir |
| author_sort | Asghar Khan |
| collection | DOAJ |
| description | We introduce the concept of 𝒩-fuzzy left (right) ideals in ordered semigroups and characterize ordered semigroups in terms of 𝒩-fuzzy left (right) ideals. We characterize left regular (right regular) and left simple (right simple) ordered semigroups in terms of 𝒩-fuzzy left (𝒩-fuzzy right) ideals. The semilattice of left (right) simple semigroups in terms of 𝒩-fuzzy left (right) ideals is discussed. |
| format | Article |
| id | doaj-art-14ccf1c521e3441f972da95c43a3fdaa |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2009-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-14ccf1c521e3441f972da95c43a3fdaa2025-08-20T03:54:29ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252009-01-01200910.1155/2009/814861814861𝒩-Fuzzy Ideals in Ordered SemigroupsAsghar Khan0Young Bae Jun1Muhammad Shabir2Department of Mathematics, COMSATS Institute of Information Technology, Abbottabad 22060, PakistanDepartment of Mathematics Education, Gyeongsang National University, Chinju 660-701, South KoreaDepartment of Mathematics, Quaid-i-Azam University, Islamabad 45320, PakistanWe introduce the concept of 𝒩-fuzzy left (right) ideals in ordered semigroups and characterize ordered semigroups in terms of 𝒩-fuzzy left (right) ideals. We characterize left regular (right regular) and left simple (right simple) ordered semigroups in terms of 𝒩-fuzzy left (𝒩-fuzzy right) ideals. The semilattice of left (right) simple semigroups in terms of 𝒩-fuzzy left (right) ideals is discussed.http://dx.doi.org/10.1155/2009/814861 |
| spellingShingle | Asghar Khan Young Bae Jun Muhammad Shabir 𝒩-Fuzzy Ideals in Ordered Semigroups International Journal of Mathematics and Mathematical Sciences |
| title | 𝒩-Fuzzy Ideals in Ordered Semigroups |
| title_full | 𝒩-Fuzzy Ideals in Ordered Semigroups |
| title_fullStr | 𝒩-Fuzzy Ideals in Ordered Semigroups |
| title_full_unstemmed | 𝒩-Fuzzy Ideals in Ordered Semigroups |
| title_short | 𝒩-Fuzzy Ideals in Ordered Semigroups |
| title_sort | 𝒩 fuzzy ideals in ordered semigroups |
| url | http://dx.doi.org/10.1155/2009/814861 |
| work_keys_str_mv | AT asgharkhan nfuzzyidealsinorderedsemigroups AT youngbaejun nfuzzyidealsinorderedsemigroups AT muhammadshabir nfuzzyidealsinorderedsemigroups |