An introduction to the theory of algebraic multi-hyperring spaces

A Smarandache multi-space is a union of n different spaces equipped with some different structures for an integer n ≥ 2 which can be used both for discrete or connected spaces, particularly for geometries and spacetimes in theoretical physics. In this paper, applying the Smarandaches notion and comb...

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Bibliographic Details
Main Authors: Hila Kostaq, Davvaz Bijan
Format: Article
Language:English
Published: Sciendo 2014-09-01
Series:Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
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Online Access:https://doi.org/10.2478/auom-2014-0050
Description
Summary:A Smarandache multi-space is a union of n different spaces equipped with some different structures for an integer n ≥ 2 which can be used both for discrete or connected spaces, particularly for geometries and spacetimes in theoretical physics. In this paper, applying the Smarandaches notion and combining this with hyperrings in hyperring theory, we introduce the notion of multi-hyperring space and initiate a study of multi-hyperring theory. Some characterizations and properties of multi-hyperring spaces are investigated and obtained. Some open problems are suggested for further study and investigation.
ISSN:1844-0835