<abstract xmlns="http://www.w3.org/1999/xhtml"><p>The notions of a dual pseudo-Q algebra and a dual pseudo-QC algebra are introduced. The properties and characterizations of them are investigated. Conditions for a dual pseudo-Q algebra to be a dual pseudo-QC algebra are given. Commutative dual pseudo-QC algebras are considered. The interrelationships between dual pseudo-Q/QC algebras and other pseudo algebras are visualized in a diagram.</p></abstract>

The notions of a dual pseudo-Q algebra and a dual pseudo-QC algebra are introduced. The properties and characterizations of them are investigated. Conditions for a dual pseudo-Q algebra to be a dual pseudo-QC algebra are given. Commutative dual pseudo-QC algebras are considered. The interrelationships between dual pseudo-Q/QC algebras and other pseudo algebras are visualized in a diagram.

Some results on pseudo-Q algebras

Department of Pure Mathematics, Faculty of Mathematics and Computer

Faculty of Science, Institute of Mathematics and Physic

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica

This work is licensed under a Creative Commons Attribution Share-Alike 4.0 License.

{"article-title":"Some results on pseudo-Q algebras"}

The notions of a dual pseudo-Q algebra and a dual pseudo-QC algebra are introduced. The properties and characterizations of them are investigated. Conditions...

Some results on pseudo-Q algebras

Published Online: Jan 27, 2018

Page range: 61 - 72

Received: Mar 10, 2017

Accepted: Aug 30, 2017

DOI: https://doi.org/10.1515/aupcsm-2017-0005

Keywords
Pseudo-BCI/BCK algebra, (dual) pseudo-BCH algebra, dual pseudo-Q/QC algebra, (commutative) pseudo-CI/BE algebra

© 2017 Akbar Rezaei et al., published by De Gruyter Open

This work is licensed under a Creative Commons Attribution Share-Alike 4.0 License.

Some results on pseudo-Q algebras

Published Online: Jan 27, 2018

Page range: 61 - 72

Received: Mar 10, 2017

Accepted: Aug 30, 2017

DOI: https://doi.org/10.1515/aupcsm-2017-0005

KeywordsPseudo-BCI/BCK algebra, (dual) pseudo-BCH algebra, dual pseudo-Q/QC algebra, (commutative) pseudo-CI/BE algebra

© 2017 Akbar Rezaei et al., published by De Gruyter Open

This work is licensed under a Creative Commons Attribution Share-Alike 4.0 License.

Keywords
Pseudo-BCI/BCK algebra, (dual) pseudo-BCH algebra, dual pseudo-Q/QC algebra, (commutative) pseudo-CI/BE algebra