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Shift Up-Filters and Decompositions of Up-Filters in Up-Algebras
- Source :
- Missouri J. Math. Sci. 31, iss. 1 (2019), 36-45
- Publication Year :
- 2019
- Publisher :
- University of Central Missouri, Department of Mathematics and Computer Science, 2019.
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Abstract
- 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.
Details
- Language :
- English
- Database :
- OpenAIRE
- Journal :
- Missouri J. Math. Sci. 31, iss. 1 (2019), 36-45
- Accession number :
- edsair.doi.dedup.....0a51dd10c1fd1ee8f7675b70b4865d28