Geodesic
On filters and upper sets in CI-algebras
Algebra and discrete mathematics, Tome 11 (2011) no. 1, pp. 109-115

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CI-algebras are a generalization of BE-algebras and dual BCK/BCI/BCH-algebras. In this paper filters of CI-algebras are considered. Given a subset of a CI-algebra, the least filter containing it is constructed. An equivalent condition of the filters using the notion of upper sets is provided.
Keywords: CI-algebra, filter, upper set. 
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Bożena Piekart; Andrzej Walendziak. On filters and upper sets in CI-algebras. Algebra and discrete mathematics, Tome 11 (2011) no. 1, pp. 109-115. http://geodesic.mathdoc.fr/item/ADM_2011_11_1_a6/