Soju Filters in Hoop Algebras
Bulletin of the Section of Logic, Tome 50 (2021) no. 1, pp. 97-123.

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The notions of (implicative) 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.
Keywords: Soju sub-hoop, soju filter, implicative soju filter
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Borzooei, Rajab Ali; Rezaei, Gholam Reza; Kologhani, Mona Aaly; Jun, Young Bae. Soju Filters in Hoop Algebras. Bulletin of the Section of Logic, Tome 50 (2021) no. 1, pp. 97-123. http://geodesic.mathdoc.fr/item/BSL_2021_50_1_a4/

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