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(Semi)topological quotient BCK-algebras

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Abstract

In this paper we study separation axioms and connected properties on (semi)topological quotient BCK-algebras. We bring some conditions which under a (semi)topological quotient BCK-algebra have at least one of the topological properties \(T_1,\) Hausdorff, regular, normal, connected, locally connected, totally disconnected space.

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Acknowledgements

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, University of Sistan and Baluchestan, Zahedan, Iran

    N. Kouhestani

  2. Department of Mathematics, University of Zabol, Zabol, Iran

    S. Mehrshad

Authors
  1. N. Kouhestani
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  2. S. Mehrshad
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Correspondence to S. Mehrshad.

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Kouhestani, N., Mehrshad, S. (Semi)topological quotient BCK-algebras. Afr. Mat. 28, 1235–1251 (2017). https://doi.org/10.1007/s13370-017-0513-9

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  • DOI: https://doi.org/10.1007/s13370-017-0513-9

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