Multiplicative lattices with absorbing factorization
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866909618237603840 |
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| author | Reinhart, Andreas Ulucak, Gulsen |
| author_facet | Reinhart, Andreas Ulucak, Gulsen |
| contents | In [24], Yassine et al. introduced the notion of 1-absorbing prime ideals in commutative rings with nonzero identity. In this article, we examine the concept of 1-absorbing prime elements in C-lattices. We investigate the C-lattices in which every element is a finite product of 1-absorbing prime elements (we denote them as OAFLs for short). Moreover, we study C-lattices having 2-absorbing factorization (we denote them as TAFLs for short). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_01100 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Multiplicative lattices with absorbing factorization Reinhart, Andreas Ulucak, Gulsen Commutative Algebra 06F10, 06F05, 13A15 In [24], Yassine et al. introduced the notion of 1-absorbing prime ideals in commutative rings with nonzero identity. In this article, we examine the concept of 1-absorbing prime elements in C-lattices. We investigate the C-lattices in which every element is a finite product of 1-absorbing prime elements (we denote them as OAFLs for short). Moreover, we study C-lattices having 2-absorbing factorization (we denote them as TAFLs for short). |
| title | Multiplicative lattices with absorbing factorization |
| topic | Commutative Algebra 06F10, 06F05, 13A15 |
| url | https://arxiv.org/abs/2408.01100 |