%0 Journal Article
%T Pseudo-irreducible elements in multiplicative lattices
%J Journal of Advanced Mathematical Modeling
%I Shahid Chamran University of Ahvaz
%Z 2251-8088
%A Rostami, Esmaeil
%A Ghorbani, shokoofeh
%D 2023
%\ 12/22/2023
%V 13
%N 3
%P 376-386
%! Pseudo-irreducible elements in multiplicative lattices
%K Multiplicative lattice
%K Pseudo-irreducible element
%K Comaximal factorization
%K Complete comaximal factorization
%R 10.22055/jamm.2023.44360.2184
%X In this paper, we define the concept of pseudo-irreducible elements in multiplicative lattices and examine its relationship with other important concepts of multiplicative lattices such as prime elements, primary elements, and maximum elements, and then with the help of this concept, we define and analyze the complete comaximal factorization in multiplicative lattices. In particular, we characterize multiplicative lattices whose every element can be written as a product of pseudo-irreducible and pairwise comaximal elements.
%U https://jamm.scu.ac.ir/article_18639_930f4c4aeb8e53a247d80e6214c836f1.pdf