| In this paper, the basic properties of semi-smooth lattices are discussed. The concepts of strongly semi-smooth lattices, generalized semi-smooth lattices, generalized semi-smooth algebraic lattices and the bases of generalized semi-smooth lattices are introduced. Some properties of theirs are also investigated. And it is proved that strongly semi-smooth lattices can be embedded in [0,1]X by a mapping which preserves arbitrary inf and semi-Scott-closed set sup. |
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