Weak non-associative structures of groups with applications

Shah Nawaz; Muhammad Gulistan; Naveed Yaqoob; Seifedine Kadry

doi:10.28924/2291-8639-17-2019-864

Weak non-associative structures of groups with applications

Shah Nawaz
, Muhammad Gulistan
, Naveed Yaqoob
, Seifedine Kadry

Hazara University
Majmaah University
Beirut Arab University

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

Inspiring by the weak symmetry occurring in the Hv -left invertive structures, in this article we have introduce a new class of Hv -LA-groups which is a generalization of LA-hypergroups. We have investigated different types of homomorphisms of Hv -LA-groups. Moreover, we have constructed the Hv -LA-groups. At the end a useful application of weak symmetry related with Hv -left invertive structure has been presented using the chemical redox reaction.

Original language	English
Pages (from-to)	864-878
Number of pages	15
Journal	International Journal of Analysis and Applications
Volume	17
Issue number	5
DOIs	https://doi.org/10.28924/2291-8639-17-2019-864
State	Published - 2019
Externally published	Yes

Keywords

H-LA-groups
Hyperoperation
chemical redox reaction
homomorphisms

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10.28924/2291-8639-17-2019-864

Cite this

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title = "Weak non-associative structures of groups with applications",

abstract = "Inspiring by the weak symmetry occurring in the Hv -left invertive structures, in this article we have introduce a new class of Hv -LA-groups which is a generalization of LA-hypergroups. We have investigated different types of homomorphisms of Hv -LA-groups. Moreover, we have constructed the Hv -LA-groups. At the end a useful application of weak symmetry related with Hv -left invertive structure has been presented using the chemical redox reaction.",

keywords = "H-LA-groups, Hyperoperation, chemical redox reaction, homomorphisms",

author = "Shah Nawaz and Muhammad Gulistan and Naveed Yaqoob and Seifedine Kadry",

note = "Publisher Copyright: {\textcopyright} 2019 Authors retain the copyrights.",

year = "2019",

doi = "10.28924/2291-8639-17-2019-864",

language = "English",

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T1 - Weak non-associative structures of groups with applications

AU - Nawaz, Shah

AU - Gulistan, Muhammad

AU - Yaqoob, Naveed

AU - Kadry, Seifedine

PY - 2019

Y1 - 2019

N2 - Inspiring by the weak symmetry occurring in the Hv -left invertive structures, in this article we have introduce a new class of Hv -LA-groups which is a generalization of LA-hypergroups. We have investigated different types of homomorphisms of Hv -LA-groups. Moreover, we have constructed the Hv -LA-groups. At the end a useful application of weak symmetry related with Hv -left invertive structure has been presented using the chemical redox reaction.

AB - Inspiring by the weak symmetry occurring in the Hv -left invertive structures, in this article we have introduce a new class of Hv -LA-groups which is a generalization of LA-hypergroups. We have investigated different types of homomorphisms of Hv -LA-groups. Moreover, we have constructed the Hv -LA-groups. At the end a useful application of weak symmetry related with Hv -left invertive structure has been presented using the chemical redox reaction.

KW - H-LA-groups

KW - Hyperoperation

KW - chemical redox reaction

KW - homomorphisms

UR - https://www.scopus.com/pages/publications/85104731011

U2 - 10.28924/2291-8639-17-2019-864

DO - 10.28924/2291-8639-17-2019-864

M3 - Article

AN - SCOPUS:85104731011

SN - 2291-8639

VL - 17

SP - 864

EP - 878

JO - International Journal of Analysis and Applications

JF - International Journal of Analysis and Applications

IS - 5

ER -

Weak non-associative structures of groups with applications

Abstract

Keywords

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