Acta Universitatis Sapientiae: Mathematica (Aug 2019)

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

  • Mirvakili S.,
  • Anvariyeh S. M.,
  • Davvaz B.

DOI
https://doi.org/10.2478/ausm-2019-0011
Journal volume & issue
Vol. 11, no. 1
pp. 131 – 143

Abstract

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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.

Keywords