| 半序模的 O-张量积与自由 f-模 |
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| 引用本文： | 周伟. 半序模的 O-张量积与自由 f-模[J]. 四川师范大学学报(自然科学版), 1993, 0(1) |
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| 作者姓名： | 周伟 |
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| 作者单位： | 四川师范大学数学系 |
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| 摘 要： | 在假定R是全序Ore环,M_1、M_2是R 上的半序模,M_1■M_2 是模M_1、M_2的张量积,M_1■M_2是平凡序半序模M_1与半序模M_2的O-张量积,F_(M_1■M_2)是平凡序半序模M_1■M_2上的自由f-模的情形下,本文证明了F_(M_1■M_2)=M_1■_0M_2.
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| 关 键 词： | 半序模 O-张量积 自由 f-模 |
O-TENSOR PRODUCTS OF PARTIALLY ORDERED MODULES AND TREE f-MODULE |
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| Zhou Wei. O-TENSOR PRODUCTS OF PARTIALLY ORDERED MODULES AND TREE f-MODULE[J]. Journal of Sichuan Normal University(Natural Science), 1993, 0(1) |
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| Authors: | Zhou Wei |
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| Affiliation: | Department of Mathematics |
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| Abstract: | Let R be a totally ordered Ore domain,M_1 and M_2 be partially ordered modules over R,M_1(?)M_2 be the ordi-nary tensor product of modules,M_1(?)_0M_2 be the O-tensor product of trivially ordered partially ordered module M_1and partially ordered module M_2,F_(M_1(?)M_2) be the free f-module over M_1(?)M_2,this paper proves F_(M_1(?)M_2)=M_1(?)_0M_2. |
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| Keywords: | partially ordered module O-tensor product free f-module |
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