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Separation axioms in (semi)topological quotient BL-algebras

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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.

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Acknowledgments

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

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Authors and Affiliations

  1. Department of Mathematics, Shahid Beheshti University, Tehran, Iran

    R. A. Borzooei

  2. Department of Mathematics, Sistan and Balouchestan University, Zahedan, Iran

    G. R. Rezaei & N. Kouhestani

Authors
  1. R. A. Borzooei
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  2. G. R. Rezaei
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  3. N. Kouhestani
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Correspondence to R. A. Borzooei.

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Borzooei, R.A., Rezaei, G.R. & Kouhestani, N. Separation axioms in (semi)topological quotient BL-algebras. Soft Comput 16, 1219–1227 (2012). https://doi.org/10.1007/s00500-012-0808-6

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