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Galoitica: Journal of Mathematical Structures and Applications

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Online: 2834-5568
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Galoitica: Journal of Mathematical Structures and Applications
Full Length Article

Volume 3Issue 1PP: 14-17 • 2023

On Some Properties of Dedekind Lattices

Khadija Ben Othman 1*
1Umm Al-Qura Univerity, Mekka, Saudi Arabia
* Corresponding Author.
Received: October 03, 2022 Accepted: January 06, 2023

Abstract

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.

Keywords

Lattice UFD Principal Ideal Domain PG-Lattice

References

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Othman, Khadija Ben. "On Some Properties of Dedekind Lattices." Galoitica: Journal of Mathematical Structures and Applications, vol. Volume 3, no. Issue 1, 2023, pp. 14-17. DOI: https://doi.org/10.54216/GJMSA.030102
Othman, K. (2023). On Some Properties of Dedekind Lattices. Galoitica: Journal of Mathematical Structures and Applications, Volume 3(Issue 1), 14-17. DOI: https://doi.org/10.54216/GJMSA.030102
Othman, Khadija Ben. "On Some Properties of Dedekind Lattices." Galoitica: Journal of Mathematical Structures and Applications Volume 3, no. Issue 1 (2023): 14-17. DOI: https://doi.org/10.54216/GJMSA.030102
Othman, K. (2023) 'On Some Properties of Dedekind Lattices', Galoitica: Journal of Mathematical Structures and Applications, Volume 3(Issue 1), pp. 14-17. DOI: https://doi.org/10.54216/GJMSA.030102
Othman K. On Some Properties of Dedekind Lattices. Galoitica: Journal of Mathematical Structures and Applications. 2023;Volume 3(Issue 1):14-17. DOI: https://doi.org/10.54216/GJMSA.030102
K. Othman, "On Some Properties of Dedekind Lattices," Galoitica: Journal of Mathematical Structures and Applications, vol. Volume 3, no. Issue 1, pp. 14-17, 2023. DOI: https://doi.org/10.54216/GJMSA.030102
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