The decomposition of a UP-filter is first discussed, and then the notion of a shift UP-filter is introduced, and several properties are investigated. Relations between a UP-filter, a comparative UP-filter, and a shift UP-filter are considered. Conditions for a UP-filter to be a shift UP-filter, and for a comparative UP-filter to be a shift UP-filter are provided. Characterizations of a shift UP-filter are considered, and an extension property for a shift UP-filter is established.
"Shift Up-Filters and Decompositions of Up-Filters in Up-Algebras." Missouri J. Math. Sci. 31 (1) 36 - 45, May 2019. https://doi.org/10.35834/mjms/1559181624