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A new congruence relation related to Reflectional topology in residuated lattices

عنوان مقاله: A new congruence relation related to Reflectional topology in residuated lattices
شناسه ملی مقاله: ICFUZZYS22_011
منتشر شده در بیست و دومین کنفرانس سیستم­ های فازی ایران در سال 1402
مشخصات نویسندگان مقاله:

Fereshteh Forouzesh - Department of Mathematics, Higher Education Complex of Bam, Kerman, Iran
Bijan Emamipour - Department of Mathematics, Higher Education Complex of Bam, Kerman, Iran

خلاصه مقاله:
In this paper, we study the reflectional topology in a residuated lattice A, which thetopological space Refl(A) is called the reflection of A, where the set of all soaker filtersis denoted by Refl(A). We introduce a congruence relation in residuated lattices thatits quotient set is a bounded lattice algebra and every homomorphism of residuatedlattices induces a bounded lattice homomorphism between induced algebras by thiscongruence relation.

کلمات کلیدی:
soaker filter, reflectional topology, congruence relation

صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/2040070/