An ordered structure of pseudo-BCI-algebras

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 30 Mar 2016Publisher:Institute of Mathematics, Czech Academy of SciencesJournal:Mathematica Bohemica, volume 141, pages 91-98 (issn: 0862-7959, eissn: 2464-7136,

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Authors: Ivan Chajda; Helmut Länger;

doi: 10.21136/mb.2016.7

An ordered structure of pseudo-BCI-algebras

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Abstract

To any pseudo-BCI-algebra [the reviewer and \textit{Y. B. Jun}, East Asian Math. J. 24, No. 2, 187--190 (2008; Zbl 1149.06010)], two binary operations (each of them being similar to that of a directoid) and a set of couples of antitone mappings is assigned which are in a certain sense mutually inverse. There is a one-to-one correspondence between a pseudo-BCI-algebra and the derived structure in the sense that the given pseudo-BCI-algebra can be recovered from this structure.

Related Organizations

Palacký University, Olomouc
Czech Republic
Palacký University Olomouc
Czech Republic

Keywords

BCK-algebras, BCI-algebras, antitone mapping, QA1-939, pseudo-BCI-structure, pseudo-BCI-algebra, directoid, Mathematics

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