| 格序模f-张量积函子的正合性与平坦格序模 |
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| 引用本文： | 周伟.格序模f-张量积函子的正合性与平坦格序模[J].四川师范大学学报(自然科学版),1992(3). |
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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： | 本文证明了如下结果:设M是有单位元可换格序环R上的格序模和l-模同态范畴,F是R上的f-模和l-模同态范畴,M∈M,则F=M(?)()是M 到F 的共变函子,进而是右正合函子.设R 是有单位元的可换全序环,视R 为自身上的格序模,则R 是平坦的.
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| 关 键 词： | f-张量积函子 格序模正合列 右正合函子 平坦格序模 |
THE EXACTNESS OF THE f-TENSOR FUNCTOR FOR LATTICE ORDERED MODULES AND-FLAT LATTICE ORDERED MODULES |
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| Zhou Wei.THE EXACTNESS OF THE f-TENSOR FUNCTOR FOR LATTICE ORDERED MODULES AND-FLAT LATTICE ORDERED MODULES[J].Journal of Sichuan Normal University(Natural Science),1992(3). |
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| Authors: | Zhou Wei |
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| Institution: | Department of Mathematics |
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| Abstract: | Let M be the category of lattice ordered modules over an abelian lattice ordered ring R with identity and l-homomor-phisms,F be the category of f-modules over R and l-homomorphisms,the following results are proved:F=M(?)()is aright exact covariant functor from M into F and an abelian totally ordered ring R with identity is a flat lattice ordered moduleover itself. |
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| Keywords: | f-tensor functor exact sequence of lattice ordered modules right exact functor flat lattice ordered module |
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