Pseudo-BCH Semilattices

Walendziak, Andrzej

dc.contributor.author	Walendziak, Andrzej
dc.date.accessioned	2019-01-14T14:54:40Z
dc.date.available	2019-01-14T14:54:40Z
dc.date.issued	2018
dc.identifier.issn	0138-0680
dc.identifier.uri	http://hdl.handle.net/11089/26416
dc.description.abstract	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.	en_GB
dc.language.iso	en	en_GB
dc.publisher	Wydawnictwo Uniwersytetu Łódzkiego	en_GB
dc.relation.ispartofseries	Bulletin of the Section of Logic;2
dc.rights	This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.	en_GB
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/4.0	en_GB
dc.subject	(pseudo-)BCK/BCI/BCH algebra	en_GB
dc.subject	pseudo-BCH join (meet)-semilattice	en_GB
dc.subject	weakly regular	en_GB
dc.subject	arithmetical at 1	en_GB
dc.title	Pseudo-BCH Semilattices	en_GB
dc.type	Article	en_GB
dc.page.number	[117]-128
dc.contributor.authorAffiliation	Faculty of Sciences, Institute of Mathematics and Physics, Siedlce University of Natural Sciences and Humanities, ul. 3 Maja 54, 08-110 Siedlce, Poland
dc.identifier.eissn	2449-836X
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dc.contributor.authorEmail	walent@interia.pl
dc.identifier.doi	10.18778/0138-0680.47.2.04
dc.relation.volume	47	en_GB
dc.subject.jel	03G25
dc.subject.jel	06A12
dc.subject.jel	06F35

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