STRUCTURAL PROPERTIES OF V-ALGEBRAS
By
Pulak Sabhapandit1, Manoj Kumar Sarma2, Kulajit Pathak3 and R. L. Prasad4
1Department of Mathematics, Biswanath College, Biswanath Chariali, Assam, India-784176.
2Department of Mathematics, Guwahati College, Guwahati, Assam, India-781021.
3Department of Mathematics, B.H. College, Howly, Assam, India-781316.
4Department of Mathematics, Retd. Dean and Professor, M. U., Bodh Gaya, Bihar, India-824231.
Email: pulaksabhapandit@gmail.com, mksghy3009@gmail.com, kulajitpathak79@gmail.com, drlakhaprasad@gmail.com
(Received: September 04, 2025; In format: September 25, 2025; Revised: November 07, 2025; Accepted: November 20, 2025)
DOI: https://doi.org/10.58250/jnanabha.2025.55224
Abstract
After the introduction of the concept of BCK, BCH, dual BCK and MV -algebras [2, 6], many authors have studied their properties in the last two decades. Prasad and Rani [7] introduced the concept of a Ualgebra and studied some of its properties and applications. The existence of certain examples motivated us to introduce the concept of a V -algebra, which has properties different from those of U-algebras. The structures studied in [1, 2, 3, 4] are distinct from the structures of U-algebras and V -algebras[5] in several respects. Some structural properties of V -algebras are discussed in this paper.
2020 Mathematical Sciences Classification: 06F35, 03G25, 03B52
Keywords and Phrases: U-algebra, V-algebra, BCK-algebra, BCH -algebra, MV -algebra.