On Neutro-LA-semihypergroups and Neutro-Hv-LA-semigroup

Authors

Saeid Mirvakili
Akbar Rezaei
Omaima Al-Shanqiti
Florentin Smarandache, University of New MexicoFollow
Bijan Davvaz

Document Type

Article

Publication Date

2023

Abstract

In this paper, we extend the notion of LA-semihypergroups (resp. Hv-LA-semigroups) to neutro-LA-semihypergroups (respectively, neutro-Hv-LA-semigroups). Anti-LA-semihypergroups (respectively, anti-Hv-LA-semigroups) are studied and investigated some of their properties. We show that these new concepts are different from classical concepts by several examples. These are particular cases of the classical algebraic structures generalized to neutroalgebraic structures and antialgebraic structures (Smarandache, 2019).

Publisher

Research Square

Language (ISO)

English

Keywords

HyperOperation, NeutroHyperOperation, AntiHyperOperation, LA-SemiHyperGroup, Neutro-LA-SemiHyperGroup, Anti-LA-semihypergroup, Hv-LA-semigroup, Neutro-Hv-LA-semigroup, Anti-Hv-LA-semigroup

Recommended Citation

Mirvakili, Saeid; Akbar Rezaei; Omaima Al-Shanqiti; Florentin Smarandache; and Bijan Davvaz. "On Neutro-LA-semihypergroups and Neutro-Hv-LA-semigroup." (2023). https://digitalrepository.unm.edu/math_fsp/595

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.