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Public Article
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Introduction to NeutroGroups
ISSN: 2690 - 6805
Publisher: author
Introduction to NeutroGroups
Indexed in
Mathematics and Statistics
ARTICLE-FACTOR
1.3
Article Basics Score: 3
Article Transparency Score: 2
Article Operation Score: 3
Article Articles Score: 3
Article Accessibility Score: 2
SUBMIT PAPER ASK QUESTION
International Category Code (ICC):
ICC-1102
Publisher: International Journal Of Neutrosophic Science Broumi Said
International Journal Address (IAA):
IAA.ZONE/269050306805
eISSN
:
2690 - 6805
VALID
ISSN Validator
Abstract
The objective of this paper is to formally present the concept of NeutroGroups by considering three NeutroAxioms (NeutroAssociativity, existence of NeutroNeutral element and existence of NeutroInverse element). Several interesting results and examples of NeutroGroups, NeutroSubgroups, NeutroCyclicGroups, NeutroQuotientGroups and NeutroGroupHomomorphisms are presented. It is shown that generally, Lagrange’s theorem and 1st isomorphism theorem of the classical groups do not hold in the class of NeutroGroups.
