Hv-module of functions over Hv-ring of arithmetics and it’s fundamental module

M. Al Tahan; B. Davvaz

doi:10.2478/auom-2024-0001

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Hv-module of functions over Hv-ring of arithmetics and it’s fundamental module

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

Volume 32 (2024): Issue 1 (April 2024)

By: M. Al Tahan and B. Davvaz

Open Access

|May 2024

Abstract

After introducing the definition of hypergroups by Marty, the study of hyperstructures and its connections with other fields has been of great importance. In this paper, we continue the investigation between hyperstructure theory and number theory. More precisely, we define an H_v-module of complex valued functions over the H_v-ring of arithmetics, classify its complete parts, the strongly regular relations on it and identify its fundamental module.

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Articles in this issue

DOI: https://doi.org/10.2478/auom-2024-0001 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784

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Language: English

Page range: 5 - 18

Submitted on: Feb 4, 2023

Accepted on: Apr 20, 2023

Published on: May 27, 2024

Published by: Ovidius University of Constanta

In partnership with: Paradigm Publishing Services

Publication frequency: 3 issues per year

Keywords:

H_v-module,

complete part,

fundamental relation,

Related subjects:

© 2024 M. Al Tahan, B. Davvaz, published by Ovidius University of Constanta
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 32 (2024): Issue 1 (April 2024)