Katrina E. Belleza, Jocelyn P. Vilela
This paper introduces and characterizes the notion of a dual B-algebra. Moreover, this study investigates the relationship between a dual B-algebra and a BCK-algebra. Commutativity of a dual B-algebra is also discussed and its relation to some algebras such as CI-algebra and dual BCI-algebra is examined. © 2019 EJPAM.
Department of Mathematics, School of Arts and Sciences, University of San Carlos, Cebu City, 6000, Philippines; Department of Mathematics and Statistics, College of Science and Mathematics, Center of Graph Theory Algebra and Analysis, Premier Research Institute of Science and Mathematics, Mindanao State University, Iligan Institute of Technology, Iligan City, 9200, Philippines