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. 

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