TY - JOUR
ID - 18639
TI - Pseudo-irreducible elements in multiplicative lattices
JO - Journal of Advanced Mathematical Modeling
JA - JAMM
LA - en
SN - 2251-8088
AU - Rostami, Esmaeil
AU - Ghorbani, shokoofeh
AD - Department of Pure Mathematics
Shahid Bahonar University of Kerman
, Kerman, Iran
AD - Department of Pure Mathematics,
Faculty of Mathematics and Computer,
Shahid Bahonar University of Kerman,
Kerman, Iran
Y1 - 2023
PY - 2023
VL - 13
IS - 3
SP - 376
EP - 386
KW - Multiplicative lattice
KW - Pseudo-irreducible element
KW - Comaximal factorization
KW - Complete comaximal factorization
DO - 10.22055/jamm.2023.44360.2184
N2 - 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.
UR - https://jamm.scu.ac.ir/article_18639.html
L1 - https://jamm.scu.ac.ir/article_18639_930f4c4aeb8e53a247d80e6214c836f1.pdf
ER -