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ω-filters of distributive lattices
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نویسنده
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rao chukka venkata ,rao mukkamala sambasiva
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منبع
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journal of algebraic structures and their applications - 2022 - دوره : 9 - شماره : 1 - صفحه:145 -159
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چکیده
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The notion of ω-filters is introduced in distributive lattices and their properties are studied. a set of equivalent conditions is derived for every maximal filter of a distributive lattice to become an ω-filter which leads to a characterization of quasi-complemented lattices. some sufficient conditions are derived for proper d-filters of a distributive lattice to become an ω-filter. finally, ω-filters of a distributive lattice are characterized with the help of minimal prime d-filters.
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کلیدواژه
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prime d-filter ,minimal prime d-filter ,maximal filter ,ω-filter ,quasi-complemented lattice ,boolean algebra
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آدرس
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assam university, albert einstein school of physical sciences, department of mathematics, india, mvgr college of engineering, department of mathematics, india
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پست الکترونیکی
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mssraomaths35@rediffmail.com
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Authors
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