In this book the notion of semigroups under + is constructed using the Mod natural neutrosophic integers or MOD natural neutrosophic-neutrosophic numbers or mod natural neutrosophic finite complex modulo integer or MOD natural neutrosophic dual number integers or MOD natural neutrosophic special dual like number or MOD natural neutrosophic special quasi dual numbers are analysed in a systematic way. All these semigroups under + have an idempotent subsemigroup under +. This is the first time we are able to give a class of idempotent subsemigroups under + by taking only those MOD natural neutrosophic elements
MOD natural neutrosophic integers
W.B. Vasantha Kandasamy, K. Ilanthenral, F. Smarandache. Semigroups on MOD Natural Neutrosophic Elements. Brussels: EuropaNova ASBL, 2016.
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