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Hybrid Structures on EQ-Algebras

Author

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  • Akbar Paad

    (Department of Mathematics, University of Bojnord, Bojnord, Iran)

Abstract

In this paper, the notion of hybrid structures on EQ-algebras is introduced, and some related properties are provided. Moreover, the concept of hybrid (pre)filters in EQ-algebras is provided and some related results are given. In the following, the quotient EQ-algebras with respect to a hybrid filter of an EQ-algebra are studied and it is shown that this quotient structure is a separated EQ-algebra for any hybrid filter. Moreover, the concept of strong relative congruence relation is introduced and some related properties are characterized. Finally, it is proved that there is a one-to-one correspondence between the set of all relative congruence relation and the set of all hybrid filters with a few additional conditions.

Suggested Citation

  • Akbar Paad, 2022. "Hybrid Structures on EQ-Algebras," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 18(02), pages 365-383, July.
    • Handle: RePEc:wsi:nmncxx:v:18:y:2022:i:02:n:s1793005722500193
    DOI: 10.1142/S1793005722500193
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