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a lattice-theoretical approach to extensions of filters in algebras of substructural logic
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نویسنده
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salounova d. ,rachunek j.
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منبع
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journal of algebraic hyperstructures and logical algebras - 2022 - دوره : 3 - شماره : 1 - صفحه:5 -14
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چکیده
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Commutative bounded integral residuated lattices (residutaed lattices, in short) form a large class of algebras containing algebras which are algebraic counterparts of certain propositional fuzzy logics. the paper deals with the so-called extended filters of filters of residuated lattices. it is used the fact that the extended filters of filters associated with subsets coincide with those associated ones with corresponding filters. this makes it possible to investigate the set of all extended filters of residuated lattices within the heyting algebras of their f ilters by means of the structural methods of the theory of such algebras.
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کلیدواژه
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residuated lattice ,heyting algebra ,relative stone algebra
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آدرس
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vsb-technical university ostrava, faculty of economics, department of mathematical methods in economy, czechia, palacky university, faculty of sciences, department of algebra and geometry, czechia
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پست الکترونیکی
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jiri.rachunek@upol.cz
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Authors
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