Soft Computing

, Volume 16, Issue 7, pp 1219–1227 | Cite as

Separation axioms in (semi)topological quotient BL-algebras

Original Paper
First Online:

Abstract

In this paper, we study the relationship between separation axioms and (semi)topological quotient BL-algebras. We bring some conditions under which a (semi)topological quotient BL-algebra becomes a T 1-space or Hausdorff or regular or normal. Also, we use maximum condition to get a Hausdorff or regular or normal (semi)topological quotien BL-algebra.

Keywords

Semitopological and topological BL-algebra Filter premetric Ti spaces Regularity Normality Totally bounded 
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Notes

Acknowledgments

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

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Copyright information

© Springer-Verlag 2012

Authors and Affiliations

  1. 1.Department of MathematicsShahid Beheshti UniversityTehranIran
  2. 2.Department of MathematicsSistan and Balouchestan UniversityZahedanIran

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