Properties of Productional NeutroOrderedSemigroups
Abstract
The introducing of NeutroAlgebra by Smarandache opened the door for researchers to define many
related new concepts. NeutroOrderedAlgebra was one of these new related definitions. The aim of this paper
is to study productional NeutroOrderedSemigroup. In this regard, we firstly present many examples and study
subsets of productional NeutroOrderedSemigroups. Then, we find sufficient conditions for the productional
NeutroSemigroup to be a NeutroOrderedSemigroup. Finally, we find sufficient conditions for subsets of the
productional NeutroOrderedSemigroup to be NeutroOrderedSubSemigroups, NeutroOrderedIdeals, and NeutroOrderedFilters.
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