(λ, μ)-fuzzy interior ideals of ordered Г-semigroups
For all λ, μ ∈ [0, 1] such that λ < μ, we first introduced the definitions of (λ, μ)-fuzzy ideals and (λ, μ)-fuzzy interior ideals of an ordered Γ-semigroup. Then we proved that in regular and in intra-regular ordered semigroups the (λ, μ)-fuzzy ideals and the (λ, μ)-fuzzy interior ideals coi...
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| Опубліковано в: : | Algebra and Discrete Mathematics |
|---|---|
| Дата: | 2013 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2013
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/152308 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | (λ, μ)-fuzzy interior ideals of ordered Г-semigroups / Yu. Feng, P. Corsini // Algebra and Discrete Mathematics. — 2013. — Vol. 16, № 1. — С. 61–70. — Бібліогр.: 24 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862706955062083584 |
|---|---|
| author | Feng, Yu. Corsini, P. |
| author_facet | Feng, Yu. Corsini, P. |
| citation_txt | (λ, μ)-fuzzy interior ideals of ordered Г-semigroups / Yu. Feng, P. Corsini // Algebra and Discrete Mathematics. — 2013. — Vol. 16, № 1. — С. 61–70. — Бібліогр.: 24 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| description | For all λ, μ ∈ [0, 1] such that λ < μ, we first introduced the definitions of (λ, μ)-fuzzy ideals and (λ, μ)-fuzzy interior ideals of an ordered Γ-semigroup. Then we proved that in regular and in intra-regular ordered semigroups the (λ, μ)-fuzzy ideals and the (λ, μ)-fuzzy interior ideals coincide. Lastly, we introduced the concept of a (λ, μ)-fuzzy simple ordered Γ-semigroup and characterized the simple ordered Γ-semigroups in terms of (λ, μ)-fuzzy interior ideals.
|
| first_indexed | 2025-12-07T17:02:19Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-152308 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T17:02:19Z |
| publishDate | 2013 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Feng, Yu. Corsini, P. 2019-06-09T17:14:16Z 2019-06-09T17:14:16Z 2013 (λ, μ)-fuzzy interior ideals of ordered Г-semigroups / Yu. Feng, P. Corsini // Algebra and Discrete Mathematics. — 2013. — Vol. 16, № 1. — С. 61–70. — Бібліогр.: 24 назв. — англ. 1726-3255 https://nasplib.isofts.kiev.ua/handle/123456789/152308 For all λ, μ ∈ [0, 1] such that λ < μ, we first introduced the definitions of (λ, μ)-fuzzy ideals and (λ, μ)-fuzzy interior ideals of an ordered Γ-semigroup. Then we proved that in regular and in intra-regular ordered semigroups the (λ, μ)-fuzzy ideals and the (λ, μ)-fuzzy interior ideals coincide. Lastly, we introduced the concept of a (λ, μ)-fuzzy simple ordered Γ-semigroup and characterized the simple ordered Γ-semigroups in terms of (λ, μ)-fuzzy interior ideals. This paper is finished during the first author’s visiting in Universita’ degli Studi di Udine. The first author wishes to give his hearted thanks to Mr. Zuddas, Mr. Sciarretta, Mr. Gessel and Mr. Li Lei for the kind help during his stay in Udine. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics (λ, μ)-fuzzy interior ideals of ordered Г-semigroups Article published earlier |
| spellingShingle | (λ, μ)-fuzzy interior ideals of ordered Г-semigroups Feng, Yu. Corsini, P. |
| title | (λ, μ)-fuzzy interior ideals of ordered Г-semigroups |
| title_full | (λ, μ)-fuzzy interior ideals of ordered Г-semigroups |
| title_fullStr | (λ, μ)-fuzzy interior ideals of ordered Г-semigroups |
| title_full_unstemmed | (λ, μ)-fuzzy interior ideals of ordered Г-semigroups |
| title_short | (λ, μ)-fuzzy interior ideals of ordered Г-semigroups |
| title_sort | (λ, μ)-fuzzy interior ideals of ordered г-semigroups |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/152308 |
| work_keys_str_mv | AT fengyu λμfuzzyinterioridealsoforderedgsemigroups AT corsinip λμfuzzyinterioridealsoforderedgsemigroups |