Feeble ring
An ideal A of a semiring S is called k-ideal if for any two elements r A and x S such that r A, then x Aʺ. This leads us to introduce the new concept feeble ring as generalization of k-ideal. Several basic properties, example and characterization of this concept are given. Moreover, the study inves...
| Published in: | Tikrit Journal of Pure Science |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Tikrit University
2020-02-01
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| Subjects: | |
| Online Access: | https://tjpsj.org/index.php/tjps/article/view/223 |
| _version_ | 1849472397251444736 |
|---|---|
| author | Sinan O. AL-Salihi Alaa N. Salman |
| author_facet | Sinan O. AL-Salihi Alaa N. Salman |
| author_sort | Sinan O. AL-Salihi |
| collection | DOAJ |
| container_title | Tikrit Journal of Pure Science |
| description |
An ideal A of a semiring S is called k-ideal if for any two elements r A and x S such that r A, then x Aʺ. This leads us to introduce the new concept feeble ring as generalization of k-ideal. Several basic properties, example and characterization of this concept are given. Moreover, the study investigate relationship of feeble ring with other classes.
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| format | Article |
| id | doaj-art-e107d0415145445ebc82ffc5fbffebfd |
| institution | Directory of Open Access Journals |
| issn | 1813-1662 2415-1726 |
| language | English |
| publishDate | 2020-02-01 |
| publisher | Tikrit University |
| record_format | Article |
| spelling | doaj-art-e107d0415145445ebc82ffc5fbffebfd2025-08-20T03:17:01ZengTikrit UniversityTikrit Journal of Pure Science1813-16622415-17262020-02-0125110.25130/tjps.v25i1.223Feeble ringSinan O. AL-SalihiAlaa N. Salman An ideal A of a semiring S is called k-ideal if for any two elements r A and x S such that r A, then x Aʺ. This leads us to introduce the new concept feeble ring as generalization of k-ideal. Several basic properties, example and characterization of this concept are given. Moreover, the study investigate relationship of feeble ring with other classes. https://tjpsj.org/index.php/tjps/article/view/223Semiringidealhomomorphism semiringfeebl-ring |
| spellingShingle | Sinan O. AL-Salihi Alaa N. Salman Feeble ring Semiring ideal homomorphism semiring feebl-ring |
| title | Feeble ring |
| title_full | Feeble ring |
| title_fullStr | Feeble ring |
| title_full_unstemmed | Feeble ring |
| title_short | Feeble ring |
| title_sort | feeble ring |
| topic | Semiring ideal homomorphism semiring feebl-ring |
| url | https://tjpsj.org/index.php/tjps/article/view/223 |
| work_keys_str_mv | AT sinanoalsalihi feeblering AT alaansalman feeblering |
