Soju Filters in Hoop Algebras

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Bulletin of the Section of Logic (forthcoming)
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Abstract

The notions of soju filters in a hoop algebra are introduced, and related properties are investigated. Relations between a soju sub-hoop, a soju filter and an implicative soju filter are discussed. Conditions for a soju filter to be implicative are displayed, and characterizations of an implicative soju filters are considered. The extension property of an implicative soju filter is established.

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10.18778/0138-0680.2020.28

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