M− Prime Ideals in Lattices and Their M− Prime Spectrum
In this paper, we explore various characteristics and attributes of M− prime ideals, minimal M− prime ideals, and weakly M− prime ideals in a lattice. We demonstrate that the image and inverse image of an M− prime ideal (or weakly M− prime ideal) also qualify as an M− prime ideal (or weakly M− prime...
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| Format: | Article |
| Language: | English |
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Wiley
2024-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2024/8099386 |
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| author | Natnael Teshale Amare |
| author_facet | Natnael Teshale Amare |
| author_sort | Natnael Teshale Amare |
| collection | DOAJ |
| description | In this paper, we explore various characteristics and attributes of M− prime ideals, minimal M− prime ideals, and weakly M− prime ideals in a lattice. We demonstrate that the image and inverse image of an M− prime ideal (or weakly M− prime ideal) also qualify as an M− prime ideal (or weakly M− prime ideal). Additionally, we investigate the relationship between M− prime ideals and weakly M− prime ideals. Finally, we introduce the concept of the space of M− prime ideals and discuss their characterizations. |
| format | Article |
| id | doaj-art-f8f8b9c05b06487f8fa5274bc27e0acf |
| institution | OA Journals |
| issn | 1687-0425 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-f8f8b9c05b06487f8fa5274bc27e0acf2025-08-20T02:22:29ZengWileyInternational Journal of Mathematics and Mathematical Sciences1687-04252024-01-01202410.1155/2024/8099386M− Prime Ideals in Lattices and Their M− Prime SpectrumNatnael Teshale Amare0Department of MathematicsIn this paper, we explore various characteristics and attributes of M− prime ideals, minimal M− prime ideals, and weakly M− prime ideals in a lattice. We demonstrate that the image and inverse image of an M− prime ideal (or weakly M− prime ideal) also qualify as an M− prime ideal (or weakly M− prime ideal). Additionally, we investigate the relationship between M− prime ideals and weakly M− prime ideals. Finally, we introduce the concept of the space of M− prime ideals and discuss their characterizations.http://dx.doi.org/10.1155/2024/8099386 |
| spellingShingle | Natnael Teshale Amare M− Prime Ideals in Lattices and Their M− Prime Spectrum International Journal of Mathematics and Mathematical Sciences |
| title | M− Prime Ideals in Lattices and Their M− Prime Spectrum |
| title_full | M− Prime Ideals in Lattices and Their M− Prime Spectrum |
| title_fullStr | M− Prime Ideals in Lattices and Their M− Prime Spectrum |
| title_full_unstemmed | M− Prime Ideals in Lattices and Their M− Prime Spectrum |
| title_short | M− Prime Ideals in Lattices and Their M− Prime Spectrum |
| title_sort | m prime ideals in lattices and their m prime spectrum |
| url | http://dx.doi.org/10.1155/2024/8099386 |
| work_keys_str_mv | AT natnaelteshaleamare mprimeidealsinlatticesandtheirmprimespectrum |