zbMATH — the first resource for mathematics

Shift UP-filters and decompositions of UP-filters in UP-algebras. (English) Zbl 1458.03045
Summary: 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.
03G25 Other algebras related to logic
Full Text: DOI Euclid
[1] A. Iampan, A new branch of the logical algebra: UP-algebras, J. Algebra Relat. Top., 5.1 (2017), 35-54. · Zbl 1382.03085
[2] C. Prabpayak and U. Leerawat, On ideals and congruences in KU-algebras, Scientia Magna, 5.1 (2009), 54-57. · Zbl 1296.06014
[3] J. · Zbl 1353.03081
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.