The relationship between EQ algebras and equality algebras
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2023-08-07 15:39
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512.548.2+512.57 (1)
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PAAD, Akbar. The relationship between EQ algebras and equality algebras. In: Quasigroups and Related Systems, 2022, vol. 30, nr. 2(48), pp. 307-315. ISSN 1561-2848. DOI: https://doi.org/10.56415/qrs.v30.26
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Quasigroups and Related Systems
Volumul 30, Numărul 2(48) / 2022 / ISSN 1561-2848

The relationship between EQ algebras and equality algebras

DOI:https://doi.org/10.56415/qrs.v30.26
CZU: 512.548.2+512.57

Pag. 307-315

Paad Akbar
 
Department of Computer Science, Kosar University of Bojnord
 
 
Disponibil în IBN: 7 aprilie 2023


Rezumat

It is proved that every involutive equivalential equality algebra (E, ∧, ∼, 1), is an involutive residualted lattice EQ-algebra, which operation ⊗ is defined by x ⊗ y = (x → y 0 ) 0 . Moreover, it is showen that by an involutive residualted lattice EQ-algebra we have an involutive equivalential equality algebra.