Applications of (Neutro/Anti)sophications to Semihypergroups-Reference-Cited by-同舟云学术

Applications of (Neutro/Anti)sophications to Semihypergroups

Published:2021-03-30 Issue: Volume:2021 Page:1-7
ISSN:2314-4785
Container-title:Journal of Mathematics
language:en
Short-container-title:Journal of Mathematics

Author:

Rezaei A.¹^ORCID,Smarandache F.²^ORCID,Mirvakili S.¹^ORCID

Affiliation:

1. Department of Mathematics, Payame Noor University, P.O. Box 19395-3697, Tehran, Iran

2. Department of Mathematics and Science, University of New Mexico, Gallup, New Mexico 87301, USA

Abstract

In this paper, we extend the notion of semi-hypergroups (resp. hypergroups) to neutro-semihypergroups (resp. neutro-hypergroups). We investigate the property of anti-semihypergroups (resp. anti-hypergroups). We also give a new alternative of neutro-hyperoperations (resp. anti-hyperoperations), neutro-hyperoperation-sophications (resp. anti-hypersophications). Moreover, we show that these new concepts are different from classical concepts by several examples.

Publisher

Hindawi Limited

Subject

General Mathematics

Link

http://downloads.hindawi.com/journals/jmath/2021/6649349.pdf

Reference24 articles.

1. On Corsini hypergroups and their productional hypergroups;M. Al-Tahan;The Korean Journal of Mathematics,2019

2. Applications of Hyperstructure Theory

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