Weakly 2-Absorbing Ideals in Almost Distributive Lattices
The concepts of weakly 2-absorbing ideal and weakly 1-absorbing prime ideal in an almost distributive lattice (ADL) are introduced, and the necessary conditions for a weakly 1-absorbing prime ideal to become a weakly 2-absorbing ideal in algebraic form are proved. Also, weakly 2-absorbing ideals are...
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2022/9252860 |
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| author | Natnael Teshale Amare |
| author_facet | Natnael Teshale Amare |
| author_sort | Natnael Teshale Amare |
| collection | DOAJ |
| description | The concepts of weakly 2-absorbing ideal and weakly 1-absorbing prime ideal in an almost distributive lattice (ADL) are introduced, and the necessary conditions for a weakly 1-absorbing prime ideal to become a weakly 2-absorbing ideal in algebraic form are proved. Also, weakly 2-absorbing ideals are characterized in terms of weakly prime ideals and 2-absorbing ideals. Finally, the lattice epimorphic images and inverse images of the weakly 2-absorbing ideal and weakly 1-absorbing prime ideal are discussed. |
| format | Article |
| id | doaj-art-7c3828c6761c4a5583dbe55b3e001be1 |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-7c3828c6761c4a5583dbe55b3e001be12025-02-03T06:12:59ZengWileyJournal of Mathematics2314-47852022-01-01202210.1155/2022/9252860Weakly 2-Absorbing Ideals in Almost Distributive LatticesNatnael Teshale Amare0Department of MathematicsThe concepts of weakly 2-absorbing ideal and weakly 1-absorbing prime ideal in an almost distributive lattice (ADL) are introduced, and the necessary conditions for a weakly 1-absorbing prime ideal to become a weakly 2-absorbing ideal in algebraic form are proved. Also, weakly 2-absorbing ideals are characterized in terms of weakly prime ideals and 2-absorbing ideals. Finally, the lattice epimorphic images and inverse images of the weakly 2-absorbing ideal and weakly 1-absorbing prime ideal are discussed.http://dx.doi.org/10.1155/2022/9252860 |
| spellingShingle | Natnael Teshale Amare Weakly 2-Absorbing Ideals in Almost Distributive Lattices Journal of Mathematics |
| title | Weakly 2-Absorbing Ideals in Almost Distributive Lattices |
| title_full | Weakly 2-Absorbing Ideals in Almost Distributive Lattices |
| title_fullStr | Weakly 2-Absorbing Ideals in Almost Distributive Lattices |
| title_full_unstemmed | Weakly 2-Absorbing Ideals in Almost Distributive Lattices |
| title_short | Weakly 2-Absorbing Ideals in Almost Distributive Lattices |
| title_sort | weakly 2 absorbing ideals in almost distributive lattices |
| url | http://dx.doi.org/10.1155/2022/9252860 |
| work_keys_str_mv | AT natnaelteshaleamare weakly2absorbingidealsinalmostdistributivelattices |