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Metrizability on (semi)topological BL-algebras

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Abstract

In this paper we define the notion of quasifilter neighborhoods on (semi)topological BL-algebras and state and prove some of their properties. Finally, using the concept of quasifilter, we find some conditions under which a BL-algebra will become metrizable.

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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. Metrizability on (semi)topological BL-algebras. Soft Comput 16, 1681–1690 (2012). https://doi.org/10.1007/s00500-012-0852-2

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  • DOI: https://doi.org/10.1007/s00500-012-0852-2

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