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May 2019 Shift Up-Filters and Decompositions of Up-Filters in Up-Algebras
Young Bae Jun, Aiyared Iampan
Missouri J. Math. Sci. 31(1): 36-45 (May 2019). DOI: 10.35834/mjms/1559181624

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.

Citation

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Young Bae Jun. Aiyared Iampan. "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

Information

Published: May 2019
First available in Project Euclid: 30 May 2019

zbMATH: 07276111
MathSciNet: MR3960285
Digital Object Identifier: 10.35834/mjms/1559181624

Subjects:
Primary: 03G25
Secondary: 06F35

Rights: Copyright © 2019 Central Missouri State University, Department of Mathematics and Computer Science

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Vol.31 • No. 1 • May 2019
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