ON MULTIPLIER AND REVERSAL MAPS ON BCK/BCI -ALGEBRAS
By
Kulajit Pathak¹ , Pulak Sabhapandit² and Himadri Shekhar Mondal³
¹Department of Mathematics, B.H. College, Howly, Assam, India-781316.
²Department of Mathematics, Biswanath College, Biswanath Chariali, Assam, India-784176.
³Department of Mathematics, Midnapore College(Autonomous), Midnapore, West Bengal, India-721101.
Email: kulajitpathak79@gmail.com, pulaksabhapandit@gmail.com, himumath100@gmail.com
(Received: November 04, 2023; In format: November 14, 2023; Revised: April 30, 2024; Accepted: May 02, 2024)
DOI: https://doi.org/10.58250/jnanabha.2024.54127
Abstract
In this paper we develop two interesting mappings on BCK/BCI-algebras which are known as multiplier map and dual multiplier map. The reversal map on BCK/BCI-algebras, which is another typical map is also discussed. Different properties of these mappings are introduced.
2020 Mathematical Sciences Classification: 06F35, 03G25, 08A30, 03B52
Keywords and Phrases: BCK-algebra, BCI-algebra, multiplier map, dual multiplier map, reversal map.