Filter theory of IL-algebras
Logic
2020-03-04 v1
Abstract
In this paper, we introduce the concept of filter on IL-algebra. It is proved that this concept generalizes the notion of filter on Residuated Lattices. Prime filters on IL-algebra are defined and few interesting properties are obtained. It has been shown that quotient algebra corresponding to IL-algebra is formed with the help of filters also an IL-algebra.
Cite
@article{arxiv.2003.01524,
title = {Filter theory of IL-algebras},
author = {Safiqul Islam and Arundhati Sanyal and Jayanta Sen},
journal= {arXiv preprint arXiv:2003.01524},
year = {2020}
}
Comments
arXiv admin note: text overlap with arXiv:2002.12453