Shift Up-Filters and Decompositions of Up-Filters in Up-Algebras
Young Bae Jun, Aiyared Iampan · Missouri Journal of Mathematical Sciences · 2019
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.