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EQ-algebras based on hyper EQ-algebras

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Abstract

In this paper, we introduce a strongly regular relation on hyper EQ-algebra as a fundamental relation and study some of its properties. We construct the quotient of any hyper EQ-algebra via (regular relation) strongly regular relations. Finally, relationships between filter and EQ-filter are studied in detail.

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Acknowledgements

We wish to thank the reviewers for excellent suggestions that have been incorporated into the paper.

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Authors and Affiliations

  1. Department of Mathematics, Payame Noor University, Tehran, Iran

    M. Hamidi

  2. Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran

    A. Broumand Saeid

Authors
  1. M. Hamidi
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  2. A. Broumand Saeid
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Correspondence to A. Broumand Saeid.

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Hamidi, M., Broumand Saeid, A. EQ-algebras based on hyper EQ-algebras. Bol. Soc. Mat. Mex. 24, 11–35 (2018). https://doi.org/10.1007/s40590-016-0159-x

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  • DOI: https://doi.org/10.1007/s40590-016-0159-x

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