Some results on topological BL-algebras

Authors

  • Fateme Alinaghian Department of Mathematics, Faculty of Basic Science, Shahrekord Branch, Islamic Azad University, Shahrekord, Iran.
  • Farhad Khaksar Haghani Department of Mathematics, Faculty of Basic Science, Shahrekord Branch, Islamic Azad University, Shahrekord, Iran.
  • Shahram Heidarian Department of Mathematics, Faculty of Basic Science, Shahrekord Branch, Islamic Azad University, Shahrekord, Iran.

DOI:

https://doi.org/10.30495/jme.v0i0.1456

Keywords:

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

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.

Author Biographies

Fateme Alinaghian, Department of Mathematics, Faculty of Basic Science, Shahrekord Branch, Islamic Azad University, Shahrekord, Iran.

Ph.D student of Mathematics, Department of Mathematics, Faculty of Basic Science, Shahrekord Branch, Islamic Azad University, Shahrekord,

Farhad Khaksar Haghani, Department of Mathematics, Faculty of Basic Science, Shahrekord Branch, Islamic Azad University, Shahrekord, Iran.

Associate Professor of Mathematics,

Department of Mathematics, Faculty of Basic Science,

Shahrekord Branch, Islamic Azad University, Shahrekord,

Shahram Heidarian, Department of Mathematics, Faculty of Basic Science, Shahrekord Branch, Islamic Azad University, Shahrekord, Iran.

Assistant professor of Mathematics,

Department of Mathematics, Faculty of Basic Science,

Shahrekord Branch, Islamic Azad University, Shahrekord,

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Published

2020-11-26

Issue

Vol. 15

Section

Vol. 15, No. 3, (2021)

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