ON CLOSED FILTERS IN CI-ALGEBRAS
By
Pulak Sabhapandit1, Kuljit Pathak2 and Manoj Kumar Sarma3
1Department of Mathematics, Biswanath College, Biswanath Chariali, Assam, 784176, India
2Department of Mathematics, B.H. College, Howly, Assam, 781316, India
3Department of Mathematics, Guwahati College, Guwahati - 21, Assam, India.
Email: pulaksabhapandit@gmail.com, kulajitpathak79@gmail.com, mksghy3009@gmail.com
(Received: March 23, 2022; In format: April 10, 2022; Revised: September 23, 2022; Accepted:)
DOI: https://doi.org/10.58250/jnanabha.2022.52226
Abstract
The filter theory of CI-algebras was first introduced by Meng(2009). This concept plays a significant role in the study of CI-algebras. In this paper, we continue to study the notion of closed filter in CI-algebra with some characteristic properties. We also study closed filters in the Cartesian product of CI-algebra and the function algebra of CI -algebra.
2020 Mathematical Sciences Classification: 06F35, 03G25, 03B52.
Keywords and Phrases: CI-algebra, BE-algebra, filter, closed filter.