Pre-Hilbert Algebras with Condition (GE3)

Rezaei, Akbar; Borumand Saeid, Arsham

dc.contributor.author	Rezaei, Akbar
dc.contributor.author	Borumand Saeid, Arsham
dc.date.accessioned	2026-10-21T11:13:45Z
dc.date.available	2026-10-21T11:13:45Z
dc.date.issued	2026-09-08
dc.identifier.issn	0138-0680
dc.identifier.uri	http://hdl.handle.net/11089/59544
dc.description.abstract	GE-algebras are introduced as a generalization of Hilbert algebras in 2020. In this paper, we show that a self distributive GE-algebra is equivalent to the pimpl-RML algebra, and a transitive GE algebra is equivalent to the pi-pre-BBBCC algebra with condition (An). Further, we prove that pimpl-BE algebras are a subclass of pimpl-RML algebras and pre-Hilbert algebras with condition (GE3) are equivalent to the pi-pre-BBBCC algebras with condition (An).	en
dc.language.iso	en
dc.publisher	Wydawnictwo Uniwersytetu Łódzkiego	pl
dc.relation.ispartofseries	Bulletin of the Section of Logic;3	en
dc.rights.uri	https://creativecommons.org/licenses/by-nc-nd/4.0
dc.subject	RML algebra	en
dc.subject	pi-RML algebra	en
dc.subject	pre-BBBCC algebra	en
dc.subject	pi-pre-BBBCC algebra	en
dc.subject	BCK-algebra	en
dc.subject	(self distributive) BE-algebra	en
dc.subject	(transitive) GE-algebra	en
dc.title	Pre-Hilbert Algebras with Condition (GE3)	en
dc.type	Other
dc.page.number	553-563
dc.contributor.authorAffiliation	Rezaei, Akbar - Payame Noor University, Department of Mathematics, Tehran, Iran	en
dc.contributor.authorAffiliation	Borumand Saeid, Arsham - Shahid Bahonar University of Kerman, Department of Pure Mathematics, Faculty of Mathematics and Computer, Kerman, Iran	en
dc.identifier.eissn	2449-836X
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dc.contributor.authorEmail	Rezaei, Akbar - rezaei@pnu.ac.ir
dc.contributor.authorEmail	Borumand Saeid, Arsham - arsham@uk.ac.ir
dc.identifier.doi	10.18778/0138-0680.2026.26
dc.relation.volume	55