Hybrid Structures on EQ-Algebras

Akbar Paad ()
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Akbar Paad: Department of Mathematics, University of Bojnord, Bojnord, Iran

New Mathematics and Natural Computation (NMNC), 2022, vol. 18, issue 02, 365-383

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.

Keywords: EQ-algebra; hybrid subalgebra; hybrid (pre)filter; strong relative congruence (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1142/S1793005722500193

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