Multiplicative lattices with absorbing factorization
Commutative Algebra
2025-05-22 v3
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).
Keywords
Cite
@article{arxiv.2408.01100,
title = {Multiplicative lattices with absorbing factorization},
author = {Andreas Reinhart and Gulsen Ulucak},
journal= {arXiv preprint arXiv:2408.01100},
year = {2025}
}