Geodesic
Pseudo-BCH Semilattices
Bulletin of the Section of Logic, Tome 47 (2018) no. 2

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In this paper we study pseudo-BCH algebras which are semilattices or lattices with respect to the natural relations ≤; we call them pseudo-BCH join-semilattices, pseudo-BCH meet-semilattices and pseudo-BCH lattices, respectively. We prove that the class of all pseudo-BCH join-semilattices is a variety and show that it is weakly regular, arithmetical at 1, and congruence distributive. In addition, we obtain the systems of identities defininig pseudo-BCH meet-semilattices and pseudo-BCH lattices.
Keywords: (pseudo-)BCK/BCI/BCH algebra, pseudo-BCH join (meet)-semilattice, weakly regular, arithmetical at 1 
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     author = {Walendziak, Andrzej},
     title = {Pseudo-BCH {Semilattices}},
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     year = {2018},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BSL_2018_47_2_a3/}
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Walendziak, Andrzej. Pseudo-BCH Semilattices. Bulletin of the Section of Logic, Tome 47 (2018) no. 2. http://geodesic.mathdoc.fr/item/BSL_2018_47_2_a3/