Some results on topological BL-algebras

Fateme Alinaghian, Farhad Khaksar Haghani, Shahram Heidarian

Abstract


In this paper, we generalize the concepts of para and quasi topological MV -algebras, which was first introduced by Najafi et al. in 2017, to BL-algebras as para and quasi topological BL-algebras and elaborate these concepts via some examples. We further derive and prove some theorems by employing pre-filters and a fundamental system of neighborhoods.

Keywords


BL-algebra, Para and Quasi-Topological BL-algebra, Ideal, Pre-filter, Filter

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