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reflectional topology in mv-algebras
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نویسنده
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forouzesh fereshteh ,hosseini naser
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منبع
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categories and general algebraic structures with applications - 2022 - دوره : 16 - شماره : 1 - صفحه:249 -267
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چکیده
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In this paper, we define soaker ideals in an mv -algebra, and study the relationships between soaker ideals and the other ideals in an involutive mv -algebras. then we introduce a topology on the set of all the soaker ideals, which we call reflectional topology, and give a basis for it. by definingthe notion of join-soaker ideals, we show that the reflectional topology is compact. we also give a characterization of connectedness of the reflectionaltopology. finally, we investigate the properties of t0 and t1-space in this topology.
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کلیدواژه
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finitely meet-irreducible ,involutive ,(soaker ,join-soaker) ideal ,reflectional topology
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آدرس
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higher education complex of bam, department of mathematics, iran, shahid bahonar university of kerman, department of pure mathematics, iran
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پست الکترونیکی
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nhoseini@uk.ac.ir
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Authors
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