\(\mathcal{L}\)−weakly 1−Absorbing Prime Ideals and Filters
In this manuscript, we have presented the concept of \(\mathcal{L}\)-weakly 1-absorbing prime ideals and \(\mathcal{L}\)-weakly 1-absorbing prime filters within an ADL. Mainly, we illustrate the connections between \(\mathcal{L}\)-weakly prime ideals (filters) and \(\mathcal{L}\)-weakly 1-absorbing...
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Lodz University Press
2024-11-01
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| Series: | Bulletin of the Section of Logic |
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| Online Access: | https://czasopisma.uni.lodz.pl/bulletin/article/view/22671 |
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| author | Natnael Teshale Amare |
| author_facet | Natnael Teshale Amare |
| author_sort | Natnael Teshale Amare |
| collection | DOAJ |
| description | In this manuscript, we have presented the concept of \(\mathcal{L}\)-weakly 1-absorbing prime ideals and \(\mathcal{L}\)-weakly 1-absorbing prime filters within an ADL. Mainly, we illustrate the connections between \(\mathcal{L}\)-weakly prime ideals (filters) and \(\mathcal{L}\)-weakly 1-absorbing prime ideals (filters), as well as between \(\mathcal{L}\)-weakly 1-absorbing prime ideals (filters) and \(\mathcal{L}\)-weakly 2-absorbing ideals (filters). Lastly, we have shown that both the image and inverse image of \(\mathcal{L}\)-weakly 1-absorbing prime ideals (filters) result in \(\mathcal{L}\)-weakly 1-absorbing prime ideals (filters). |
| format | Article |
| id | doaj-art-ec4b66f15bf04903b4cd410fe1e8093a |
| institution | Kabale University |
| issn | 0138-0680 2449-836X |
| language | English |
| publishDate | 2024-11-01 |
| publisher | Lodz University Press |
| record_format | Article |
| series | Bulletin of the Section of Logic |
| spelling | doaj-art-ec4b66f15bf04903b4cd410fe1e8093a2025-02-07T07:22:47ZengLodz University PressBulletin of the Section of Logic0138-06802449-836X2024-11-0153449151010.18778/0138-0680.2024.1622922\(\mathcal{L}\)−weakly 1−Absorbing Prime Ideals and FiltersNatnael Teshale Amare0https://orcid.org/0000-0001-5771-0757University of Gondar, Department of Mathematics, EthiopiaIn this manuscript, we have presented the concept of \(\mathcal{L}\)-weakly 1-absorbing prime ideals and \(\mathcal{L}\)-weakly 1-absorbing prime filters within an ADL. Mainly, we illustrate the connections between \(\mathcal{L}\)-weakly prime ideals (filters) and \(\mathcal{L}\)-weakly 1-absorbing prime ideals (filters), as well as between \(\mathcal{L}\)-weakly 1-absorbing prime ideals (filters) and \(\mathcal{L}\)-weakly 2-absorbing ideals (filters). Lastly, we have shown that both the image and inverse image of \(\mathcal{L}\)-weakly 1-absorbing prime ideals (filters) result in \(\mathcal{L}\)-weakly 1-absorbing prime ideals (filters).https://czasopisma.uni.lodz.pl/bulletin/article/view/22671weakly 1-absorbing prime idealweakly 1−absorbing prime filter\(\mathcal{l}\)−weakly 2−absorbing ideal\(\mathcal{l}\)−weakly 1−absorbing prime ideal\(\mathcal{l}\)−weakly 2−absorbing filter\(\mathcal{l}\)−weakly 1−absorbing prime filter |
| spellingShingle | Natnael Teshale Amare \(\mathcal{L}\)−weakly 1−Absorbing Prime Ideals and Filters Bulletin of the Section of Logic weakly 1-absorbing prime ideal weakly 1−absorbing prime filter \(\mathcal{l}\)−weakly 2−absorbing ideal \(\mathcal{l}\)−weakly 1−absorbing prime ideal \(\mathcal{l}\)−weakly 2−absorbing filter \(\mathcal{l}\)−weakly 1−absorbing prime filter |
| title | \(\mathcal{L}\)−weakly 1−Absorbing Prime Ideals and Filters |
| title_full | \(\mathcal{L}\)−weakly 1−Absorbing Prime Ideals and Filters |
| title_fullStr | \(\mathcal{L}\)−weakly 1−Absorbing Prime Ideals and Filters |
| title_full_unstemmed | \(\mathcal{L}\)−weakly 1−Absorbing Prime Ideals and Filters |
| title_short | \(\mathcal{L}\)−weakly 1−Absorbing Prime Ideals and Filters |
| title_sort | mathcal l weakly 1 absorbing prime ideals and filters |
| topic | weakly 1-absorbing prime ideal weakly 1−absorbing prime filter \(\mathcal{l}\)−weakly 2−absorbing ideal \(\mathcal{l}\)−weakly 1−absorbing prime ideal \(\mathcal{l}\)−weakly 2−absorbing filter \(\mathcal{l}\)−weakly 1−absorbing prime filter |
| url | https://czasopisma.uni.lodz.pl/bulletin/article/view/22671 |
| work_keys_str_mv | AT natnaelteshaleamare mathcallweakly1absorbingprimeidealsandfilters |