| 格值模型的初等类及几点注记 |
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| 引用本文： | 沈云付.格值模型的初等类及几点注记[J].数学学报,1995,38(1):111-116. |
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| 作者姓名： | 沈云付 |
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| 作者单位： | 湖州师范专科学校，北京师范大学数学系 |
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| 摘 要： | 本文证明了在有限值格下，一个模型类是初等类当且仅当它对超积和初等等价封闭，同时值格需有强特征式，语言应附有相应的零元关系符号。
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| 关 键 词： | 格值模型，初等类，超积 |
| 收稿时间： | 1992-10-4 |
| 修稿时间： | 1993-10-11 |
Elementary Class of Lattice-Vallied Models and its Remarks |
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| Shen Yunfu.Elementary Class of Lattice-Vallied Models and its Remarks[J].Acta Mathematica Sinica,1995,38(1):111-116. |
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| Authors: | Shen Yunfu |
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| Institution: | Shen Yunfu(Huzhou Teacher,s College,Zhejiang Huzhou 313000 China ) |
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| Abstract: | It is proved that a claJss of lattice-valued models is an elementary class if and onlyif it is closed under ultraproducts and elementary equiValence provided that the valued-lattice isfinite and has a strong characteristic form and the language bears a set of O-ary relation symbols。Some remarks are also given。 |
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| Keywords: | lattice-valued model elementary class ultraproduct |
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