| The Categories of m-semilatices |
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| 作者单位： | Department of Mathematics，Shaanxi Normal University，Xi'an，710062 |
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| 摘 要： | §１．ｍ┐ｓｅｍｉｌａｔｉｃｅｓＧｉｖｅｎａｃａｒｄｉｎａｌｍ．ＡｐｏｓｅｔＰｉｓｃａｌｅｄａｎｍ－ｓｅｍｉｌａｔｉｃｅ，ｉｆｆｏｒａｎｙｎｏｎ－ｅｍｐｔｙｓｕｂｓｅｔＢｏｆＰｗｉｔｈ｜Ｂ｜＜ｍ，ｔｈｅｉｎｆｉｍｕｍ∧ＢｅｘｉｓｔｓｉｎＰ．Ａｓｅｔｗ...
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The Categories of m semilattices *) |
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| Authors: | Zhao Dongsheng and Zhao Bin |
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| Institution: | Zhao Dongsheng **) and Zhao Bin |
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| Abstract: | The principal aim of this paper is to present a general result characterizing the injective objects in the category m Slat of all m semilattices with m semilattice homomorphism. This result unifies three well known facts about the injective objects seperately in the category Pos of all posets with order preserving maps, the category Slat of all meet semilattices with meet preserving maps and the category Inf of all complete lattices with arbitrary meet preserving maps. |
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| Keywords: | m semilattice Poset Meet semilattice Complete Lattice |
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