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中文摘要：
A topological molecular lattice (TML) is a pair (L, T), where L is a completely distributive lattice and r is a subframe of L. There is an obvious forgetful functor from the category TML of TML's to the category Loc of locales. In this note,it is showed that this forgetful functor has a right adjoint. Then, by this adjunction,a special kind of topological molecular lattices called sober topological molecular lattices is introduced and investigated.
英文摘要：
<正> A topological molecular lattice (TML) is a pair (L, r), where L is a completely distributive lattice and T is a subframe of L. There is an obvious forgetful functor from the category TML of TML’s to the category Loc of locales. In this note, it is showed that this forgetful functor has a right adjoint. Then, by this adjunction, a special kind of topological molecular lattices called sober topological molecular lattices is introduced and investigated.
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