Affiliations: [a] Department of Mathematics, Faculty of Mathematical Sciences, Shahid Beheshti University, Tehran, Iran
| [b] Department of Mathematics and Physics, Faculty of Military Technology, University of Defence, Brno, Czech Republic
| [c] Department of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran
Correspondence:
[*]
Corresponding author. S. Hoskova-Mayerova, Department of Mathematics and Physics, Faculty of Military Technology, University of Defence, 662 10 Brno, Czech Republic. E-mail: sarka.mayerova@unob.cz.
Abstract: In this paper, by using the concept of maximal filter of equality algebra, we introduce radical of equality algebra. Then some equivalence definitions of it and some related properties are investigated. Then by using this notion, we introduce the concept of semi-maximal filter and prime-like filter on equality algebras and the relation between them and other filters of equality algebra are investigated. Finally, by using the notion of prime-like filters, we introduce a topology on equality algebra.
