Volume 6 • Issue 1 • PP: 41-47 • 2020
Introduction to NeutroGroups
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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.
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References
[1] Agboola A.A.A., Ibrahim M.A. and Adeleke E.O.,”Elementary Examination of NeutroAlgebras and
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[4] Smarandache, F., ”NeutroAlgebra is a Generalization of Partial Algebra”, International Journal of Neutrosophic Science, vol. 2 (1), pp. 08-17, 2020.
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