09 فروردین 1403
سعيد رسولي

سعید رسولی

مرتبه علمی: دانشیار
نشانی: دانشکده مهندسی سیستم های هوشمند و علوم داده - گروه ریاضی
تحصیلات: دکترای تخصصی / ریاضی محض
تلفن: 09375197298
دانشکده: دانشکده مهندسی سیستم های هوشمند و علوم داده

مشخصات پژوهش

عنوان Heyting, Boolean and pseudo-MV filters in residuated lattices
نوع پژوهش مقالات در نشریات
کلیدواژه‌ها
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مجله JOURNAL OF MULTIPLE-VALUED LOGIC AND SOFT COMPUTING
شناسه DOI
پژوهشگران سعید رسولی (نفر اول)

چکیده

The paper is devoted to introduce the notions of left-(right-)Heyting, left-(right-)Boolean and left-(right-)MV filter in residuated lattices and to investigate their properties. Several characterizations of these notions are derived. We show that each left-(right-)Heyting filter is left-(right-)normal and each left- and right-Heyting filter is a Heyting filter. The relations between left-(right-)Boolean filters and left-(right-)Heyting filters are investigated and we prove that left-(right-)Boolean filters are left-(right-)Heyting and this implication is strict. The conditions under which a left-(right-)Heyting filter is left-(right-)Boolean are established. Finally, we show that a filter is Boolean if and only if it is Heyting and pseudo-MV.