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Galoitica: Journal of Mathematical Structures and Applications
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Title

On Some Properties of Dedekind Lattices

  Khadija Ben Othman 1 *

1  Umm Al-Qura Univerity, Mekka, Saudi Arabia
    (khagijabenothman33@gmail.com)

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Doi   :   https://doi.org/10.54216/GJMSA.030102

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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Cite this Article as :
Style #
MLA Khadija Ben Othman. "On Some Properties of Dedekind Lattices." Galoitica: Journal of Mathematical Structures and Applications, Vol. 3, No. 1, 2023 ,PP. 14-17 (Doi   :  https://doi.org/10.54216/GJMSA.030102)
APA Khadija Ben Othman. (2023). On Some Properties of Dedekind Lattices. Journal of Galoitica: Journal of Mathematical Structures and Applications, 3 ( 1 ), 14-17 (Doi   :  https://doi.org/10.54216/GJMSA.030102)
Chicago Khadija Ben Othman. "On Some Properties of Dedekind Lattices." Journal of Galoitica: Journal of Mathematical Structures and Applications, 3 no. 1 (2023): 14-17 (Doi   :  https://doi.org/10.54216/GJMSA.030102)
Harvard Khadija Ben Othman. (2023). On Some Properties of Dedekind Lattices. Journal of Galoitica: Journal of Mathematical Structures and Applications, 3 ( 1 ), 14-17 (Doi   :  https://doi.org/10.54216/GJMSA.030102)
Vancouver Khadija Ben Othman. On Some Properties of Dedekind Lattices. Journal of Galoitica: Journal of Mathematical Structures and Applications, (2023); 3 ( 1 ): 14-17 (Doi   :  https://doi.org/10.54216/GJMSA.030102)
IEEE Khadija Ben Othman, On Some Properties of Dedekind Lattices, Journal of Galoitica: Journal of Mathematical Structures and Applications, Vol. 3 , No. 1 , (2023) : 14-17 (Doi   :  https://doi.org/10.54216/GJMSA.030102)
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