Int-Soft (Generalized) Bi-Ideals of Semigroups
The notions of int-soft semigroups and int-soft left (resp., right) ideals in semigroups are studied in the paper by Song et al. (2014). In this paper, further properties and characterizations of int-soft left (right) ideals are studied, and the notion of int-soft (generalized) bi-ideals is introduc...
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2015/198672 |
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| _version_ | 1832565606298157056 |
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| author | Young Bae Jun Seok-Zun Song |
| author_facet | Young Bae Jun Seok-Zun Song |
| author_sort | Young Bae Jun |
| collection | DOAJ |
| description | The notions of int-soft semigroups and int-soft left (resp., right) ideals in semigroups are studied in the paper by Song et al. (2014). In this paper, further properties and characterizations of int-soft left (right) ideals are studied, and the notion of int-soft (generalized) bi-ideals is introduced. Relations between int-soft generalized bi-ideals and int-soft semigroups are discussed, and characterizations of (int-soft) generalized bi-ideals and int-soft bi-ideals are considered. Given a soft set (α;S) over U, int-soft (generalized) bi-ideals generated by (α;S) are established. |
| format | Article |
| id | doaj-art-c2b55af3a5b346ecaf99e4c4095346c6 |
| institution | Kabale University |
| issn | 2356-6140 1537-744X |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-c2b55af3a5b346ecaf99e4c4095346c62025-02-03T01:07:17ZengWileyThe Scientific World Journal2356-61401537-744X2015-01-01201510.1155/2015/198672198672Int-Soft (Generalized) Bi-Ideals of SemigroupsYoung Bae Jun0Seok-Zun Song1Department of Mathematics Education, Gyeongsang National University, Jinju 660-701, Republic of KoreaDepartment of Mathematics, Jeju National University, Jeju 690-756, Republic of KoreaThe notions of int-soft semigroups and int-soft left (resp., right) ideals in semigroups are studied in the paper by Song et al. (2014). In this paper, further properties and characterizations of int-soft left (right) ideals are studied, and the notion of int-soft (generalized) bi-ideals is introduced. Relations between int-soft generalized bi-ideals and int-soft semigroups are discussed, and characterizations of (int-soft) generalized bi-ideals and int-soft bi-ideals are considered. Given a soft set (α;S) over U, int-soft (generalized) bi-ideals generated by (α;S) are established.http://dx.doi.org/10.1155/2015/198672 |
| spellingShingle | Young Bae Jun Seok-Zun Song Int-Soft (Generalized) Bi-Ideals of Semigroups The Scientific World Journal |
| title | Int-Soft (Generalized) Bi-Ideals of Semigroups |
| title_full | Int-Soft (Generalized) Bi-Ideals of Semigroups |
| title_fullStr | Int-Soft (Generalized) Bi-Ideals of Semigroups |
| title_full_unstemmed | Int-Soft (Generalized) Bi-Ideals of Semigroups |
| title_short | Int-Soft (Generalized) Bi-Ideals of Semigroups |
| title_sort | int soft generalized bi ideals of semigroups |
| url | http://dx.doi.org/10.1155/2015/198672 |
| work_keys_str_mv | AT youngbaejun intsoftgeneralizedbiidealsofsemigroups AT seokzunsong intsoftgeneralizedbiidealsofsemigroups |