<abstract xmlns="http://www.w3.org/1999/xhtml"><p>The aim of this paper is to introduce a new class of hyper-modules that may be called (M, N)-hypermodules over (R, S)-hyperrings. Then, we investigate some properties of this new class of hyperstructures. Since the main tools in the theory of hyperstructures are the fundamental relations, we give some results about them with respect to the fundamental relations.</p></abstract>

The aim of this paper is to introduce a new class of hyper-modules that may be called (M, N)-hypermodules over (R, S)-hyperrings. Then, we investigate some properties of this new class of hyperstructures. Since the main tools in the theory of hyperstructures are the fundamental relations, we give some results about them with respect to the fundamental relations.

Construction of (M, N)-hypermodule over (R, S)-hyperring

Acta Universitatis Sapientiae, Mathematica

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"Construction of (M, N)-hypermodule over (R, S)-hyperring"}

The aim of this paper is to introduce a new class of hyper-modules that may be called (M, N)-hypermodules over (R, S)-hyperrings. Then, we investigate some...

Construction of (M, N)-hypermodule over (R, S)-hyperring

Published Online: Aug 17, 2019

Page range: 131 - 143

Received: May 04, 2017

DOI: https://doi.org/10.2478/ausm-2019-0011

Keywords
hypermodule, hyperring, hypergroup

© 2019 S. Mirvakili et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Construction of (M, N)-hypermodule over (R, S)-hyperring

Published Online: Aug 17, 2019

Page range: 131 - 143

Received: May 04, 2017

DOI: https://doi.org/10.2478/ausm-2019-0011

Keywordshypermodule, hyperring, hypergroup

© 2019 S. Mirvakili et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
hypermodule, hyperring, hypergroup