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on relatively connected sublocales and j-frames
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نویسنده
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dubazana siyabonga ,mthethwa simo s.
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منبع
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categories and general algebraic structures with applications - 2025 - دوره : 22 - شماره : 1 - صفحه:181 -196
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چکیده
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In this paper, we present a study of relatively connected sublocales. the development of this study is subsequently utilized to characterize what we call c-normal frames. normal frames are c-normal, the converse is not true. some results concerning j-frames are presented; amongst other things, we prove that regular continuous frames are rim-compact and that the converse is true for j-frames. the latter is used to show that the least compactification of a regular continuous j-frame coincides with its freudenthal compactification
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کلیدواژه
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j-frames ,relatively connected sublocales ,c-normal ,freudenthal ,continuous frames ,perfect compactification ,rim-compact
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آدرس
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university of kwazulu-natal, school of mathematics, statistics and computer sciences, south africa, university of kwazulu-natal, school of mathematics, statistics and computer sciences, south africa
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پست الکترونیکی
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simomthethwa@gmail.com; mthethwas4@ukzn.ac.za
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Authors
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