Galoitica: Journal of Mathematical Structures and Applications
Journal DOI
2834-5568ISSN (Online)
Volume 3 , Issue 1 , PP: 14-17, 2023 | Cite this article as | XML | Html | PDF
Khadija Ben Othman 1 *
Doi: https://doi.org/10.54216/GJMSA.030102
The objective of this paper is to study the Dedekind lattices, where we prove if is a -lattice and domain, then will be a Dedekind domain if and only if every non zero maximal element is invertible.
On the other hand, we prove that if is a domain and -lattices, then is a dedehind domain if and only if is a UFD lattices and every non zero prime element is maximal.
Lattice , UFD , Principal Ideal , Domain , PG-Lattice
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