Ideals and Filters of UP-Algebras in the Frame of Pentapartitioned  Neutrosophic Structures

Anas Al-Masarwah; Haifa Al-Zghoul

Authors

Anas Al-Masarwah Department of Mathematics, Faculty of Science, Ajloun National University, P. O. Box 43, Ajloun 26810, Jordan.
Haifa Al-Zghoul Department of Mathematics, Faculty of Science, Ajloun National University, P. O. Box 43, Ajloun 26810, Jordan.

Keywords:

UP-algebras, pentapartitioned neutrosophic structure, pentapartitioned neutrosophic UP subalgebra, pentapartitioned neutrosophic near UP- lter, pentapartitioned neutrosophic UP- lter, pentaparti tioned neutrosophic UP-ideal, pentapartitioned neutrosophic strong UP-ideal.

Abstract

The aim of this article is to apply the idea of pentapartitioned neutrosophic structures to UP
algebras. Fuzziness algebraic substructures, namely UP-subalgebras, near UP- lters, UP- lters, UP-ideals and
strong UP-ideals of UP-algebras are modi ed and extended to introduce the notions of pentapartitioned neutro
sophic UP-subalgebras, pentapartitioned neutrosophic near UP- lters, pentapartitioned neutrosophic UP- lters,
pentapartitioned neutrosophic UP-ideals and pentapartitioned neutrosophic strong UP-ideals in UP-algebras
and prove their generalizations. Furthermore, the relationship between pentapartitioned neutrosophic UP
subalgebras (resp., pentapartitioned neutrosophic near UP- lters, pentapartitioned neutrosophic UP- lters,
pentapartitioned neutrosophic UP-ideals and pentapartitioned neutrosophic strong UP-ideals) in UP-algebras
is discussed. After that, the conditions under which pentapartitioned neutrosophic UP-subalgebra can be penta
partitioned neutrosophic near UP- lter, and the condition under which pentapartitioned neutrosophic UP- lter
can be pentapartitioned neutrosophic UP-ideal in UP-algebra are discovered. At last, some characterizations
theorems of pentapartitioned neutrosophic structures in connection with UP-subalgebraic structures are pre
sented and proved.

DOI: 10.5281/zenodo.15588341