Uniform BL-algebras

  • R. Khanegir
  • G. R. Rezaei
  • N. KouhestaniEmail author


In this paper, we define the notion of uniform BL-algebras and derive some conditions under which the operations of BL-algebras are uniformly continuous. Also, some properties of uniform topology are discussed. Finally, we use some types of congruence relations to construct some uniformities and analyze the relationship between these uniformities.


BL-algebra Ideal Filter Uniform BL-algebra Uniform topology 



The authors would like to express their sincere thanks to the referees for their valuable suggestions and comments.

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Conflict of interest

Authors declare that they have not conflict of interest.

Human and animal rights

This article does not contain any studies with human participants performed by any of the authors. This article does not contain any studies with animals performed by any of the authors.


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© Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of Sistan and BaluchestanZahedanIran
  2. 2.Fuzzy Systems Research CenterUniversity of Sistan and BaluchestanZahedanIran

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