Neutrosophic N-structures over UP-algebras
Abstract
The notions of (special) neutrosophic N-UP-subalgebras, (special) neutrosophic N-near
UP-filters, (special) neutrosophic N-UP-filters, (special) neutrosophic N-UP-ideals, and (special)
neutrosophic N-strongly UP-ideals of UP-algebras are introduced, and several properties are
investigated. Conditions for neutrosophic N-structures to be (special) neutrosophic
N-UP-subalgebras, (special) neutrosophic N-near UP-filters, (special) neutrosophic N-UP-filters,
(special) neutrosophic N-UP-ideals, and (special) neutrosophic N-strongly UP-ideals of
UP-algebras are provided. Relations between (special) neutrosophic N-UP-subalgebras (resp.,
(special) neutrosophic N-near UP-filters, (special) neutrosophic N-UP-filters, (special) neutrosophic
N-UP-ideals, (special) neutrosophic N-strongly UP-ideals) and their level subsets are considered
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