On certain generalized prime ideals in boolean like semiring of fractions
In this paper, we introduce the notions of semiprime ideals, 2-potent prime ideals, weakly prime ideals and weakly primary ideals in a Boolean like semiring of fractions. Further, we obtain various results concerning the notions.
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| Format: | Article |
| Language: | English |
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University of Mohaghegh Ardabili
2014-06-01
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| Series: | Journal of Hyperstructures |
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| Online Access: | https://jhs.uma.ac.ir/article_2570_89f31365645e1d633c28b56fc13b8088.pdf |
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| author | K. H. Demissie B. B. Belayneh K. Venkateswarlu |
| author_facet | K. H. Demissie B. B. Belayneh K. Venkateswarlu |
| author_sort | K. H. Demissie |
| collection | DOAJ |
| description | In this paper, we introduce the notions of semiprime ideals, 2-potent prime ideals, weakly prime ideals and weakly primary ideals in a Boolean like semiring of fractions. Further, we obtain various results concerning the notions. |
| format | Article |
| id | doaj-art-e95713fd4c494a50b8a903eafea69322 |
| institution | Kabale University |
| issn | 2251-8436 2322-1666 |
| language | English |
| publishDate | 2014-06-01 |
| publisher | University of Mohaghegh Ardabili |
| record_format | Article |
| series | Journal of Hyperstructures |
| spelling | doaj-art-e95713fd4c494a50b8a903eafea693222025-08-20T03:50:01ZengUniversity of Mohaghegh ArdabiliJournal of Hyperstructures2251-84362322-16662014-06-0131182610.22098/jhs.2014.25702570On certain generalized prime ideals in boolean like semiring of fractionsK. H. Demissie0B. B. Belayneh1K. Venkateswarlu2Department of Mathematics, Addis Ababa University, P.O.Box 1176, Addis Ababa, EthiopiaDepartment of Mathematics, Addis Ababa University, P.O.Box 1176, Addis Ababa, EthiopiaDepartment of Mathematics, Addis Ababa University, P.O.Box 1176, Addis Ababa, EthiopiaIn this paper, we introduce the notions of semiprime ideals, 2-potent prime ideals, weakly prime ideals and weakly primary ideals in a Boolean like semiring of fractions. Further, we obtain various results concerning the notions.https://jhs.uma.ac.ir/article_2570_89f31365645e1d633c28b56fc13b8088.pdfprimeprimaryweakly primaryidealsboolean like semirings |
| spellingShingle | K. H. Demissie B. B. Belayneh K. Venkateswarlu On certain generalized prime ideals in boolean like semiring of fractions Journal of Hyperstructures prime primary weakly primary ideals boolean like semirings |
| title | On certain generalized prime ideals in boolean like semiring of fractions |
| title_full | On certain generalized prime ideals in boolean like semiring of fractions |
| title_fullStr | On certain generalized prime ideals in boolean like semiring of fractions |
| title_full_unstemmed | On certain generalized prime ideals in boolean like semiring of fractions |
| title_short | On certain generalized prime ideals in boolean like semiring of fractions |
| title_sort | on certain generalized prime ideals in boolean like semiring of fractions |
| topic | prime primary weakly primary ideals boolean like semirings |
| url | https://jhs.uma.ac.ir/article_2570_89f31365645e1d633c28b56fc13b8088.pdf |
| work_keys_str_mv | AT khdemissie oncertaingeneralizedprimeidealsinbooleanlikesemiringoffractions AT bbbelayneh oncertaingeneralizedprimeidealsinbooleanlikesemiringoffractions AT kvenkateswarlu oncertaingeneralizedprimeidealsinbooleanlikesemiringoffractions |