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arXiv · 2408.01100

Multiplicative lattices with absorbing factorization

Andreas Reinhart·Gulsen Ulucak
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Abstract

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).

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Andreas Reinhart, Gulsen Ulucak. 2025-05-21. Multiplicative lattices with absorbing factorization. https://arxiv.org/abs/2408.01100

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