<abstract xmlns="http://www.w3.org/1999/xhtml">

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 <italic>Hv</italic>-module of complex valued functions over the <italic>Hv</italic>-ring of arithmetics, classify its complete parts, the strongly regular relations on it and identify its fundamental module.
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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 Hv-module of complex valued functions over the Hv-ring of arithmetics, classify its complete parts, the strongly regular relations on it and identify its fundamental module.

<italic>Hv</italic>-module of functions over <italic>Hv</italic>-ring of arithmetics and it’s fundamental module

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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

After introducing the definition of hypergroups by Marty, the study of hyperstructures and its connections with other fields has been of great importance. In...

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

Published Online: May 27, 2024

Page range: 5 - 18

Received: Feb 04, 2023

Accepted: Apr 20, 2023

DOI: https://doi.org/10.2478/auom-2024-0001

Keywords
-module, complete part, fundamental relation, fundamental ring, fundamental module

© 2024 M. Al Tahan, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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

Published Online: May 27, 2024

Page range: 5 - 18

Received: Feb 04, 2023

Accepted: Apr 20, 2023

DOI: https://doi.org/10.2478/auom-2024-0001

Keywords-module, complete part, fundamental relation, fundamental ring, fundamental module

© 2024 M. Al Tahan, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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

Keywords
-module, complete part, fundamental relation, fundamental ring, fundamental module