<abstract xmlns="http://www.w3.org/1999/xhtml"><p>A Smarandache multi-space is a union of <italic>n</italic> different spaces equipped with some different structures for an integer <italic>n</italic> ≥ 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.</p></abstract>

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.

An introduction to the theory of algebraic multi-hyperring spaces

Department of Mathematics & Computer Science, Faculty of Natural Sciences University of Gjirokastra, Albania.

Department of Mathematics, Yazd University, Yazd, Iran.

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

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

{"article-title":"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...

An introduction to the theory of algebraic multi-hyperring spaces

Published Online: Dec 22, 2015

Page range: 59 - 72

Received: Apr 12, 2013

Accepted: Oct 14, 2013

DOI: https://doi.org/10.2478/auom-2014-0050

Keywords
Hyperrings, Multi-hyperring space, Hyperideal subspace chain, Smarandache multi-space

© 2014 Kostaq Hila et al., published by De Gruyter Open

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

An introduction to the theory of algebraic multi-hyperring spaces

Published Online: Dec 22, 2015

Page range: 59 - 72

Received: Apr 12, 2013

Accepted: Oct 14, 2013

DOI: https://doi.org/10.2478/auom-2014-0050

KeywordsHyperrings, Multi-hyperring space, Hyperideal subspace chain, Smarandache multi-space

© 2014 Kostaq Hila et al., published by De Gruyter Open

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

Keywords
Hyperrings, Multi-hyperring space, Hyperideal subspace chain, Smarandache multi-space