Geodesic
New kinds of hybrid filters of EQ-algebras
Mathematica Bohemica, Tome 149 (2024) no. 1, pp. 105-127.

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The main goal of this paper is to introduce hybrid positive implicative and hybrid implicative (pre)filters of EQ-algebras. In the following, some characterizations of this hybrid (pre)filters are investigated and it is proved that the quotient algebras induced by hybrid positive implicative filters in residuated EQ-algebras are idempotent and residuated EQ-algebra. Moreover, the relationship between hybrid implicative prefilters and hybrid positive implicative prefilters are discussed and it is shown that these concepts coincide in good involutive EQ-algebras. Finally, it is proved that the quotient EQ-algebra respect to a hybrid positive implicative filter is involutive if and only if the hybrid filter is hybrid implicative filter.
DOI : 10.21136/MB.2023.0049-22
Classification : 03B50, 03E72, 03G25, 08A72
Keywords: EQ-algebra; hybrid positive implicative (pre)filter; hybrid implicative (pre)filter 
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Paad, Akbar. New kinds of hybrid filters of EQ-algebras. Mathematica Bohemica, Tome 149 (2024) no. 1, pp. 105-127. doi : 10.21136/MB.2023.0049-22. http://geodesic.mathdoc.fr/articles/10.21136/MB.2023.0049-22/

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