مشخصات پژوهش

خانه /n-Fold Heyting, Boolean and ...
عنوان
n-Fold Heyting, Boolean and pseudo-MV filters in residuated lattices
نوع پژوهش مقالات در نشریات
کلیدواژه‌ها
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چکیده
This paper is devoted to introduce the notions of n-fold left-(right-)Heyting, n-fold left-(right-)Boolean and n-fold left-(right-)MV filters in residuated lattices and to investigate their properties. Several characterizations of these notions are derived. The relations between n-fold left-(right-)Boolean filters and n-fold left-(right-)Heyting filters are investigated and we prove that an n-fold left-(right-)Boolean filter is an n-fold left-(right-)Heyting filter, respectively, and this implication is strict. Also, the relations between n-fold left-(right-) Boolean filters and n-fold left-(right-)MV filters are investigated and we show that a normal n-fold left-(right-)Boolean filter is a normal n-fold left-(right-)MV filter and each n-fold left-(right-)Heyting and n-fold left-(right-)MV filter is an n-fold left-(right-)Boolean filter.
پژوهشگران سعید رسولی (نفر اول)، زینب زرین (نفر دوم)