| 环的S.F.P.维数 |
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| 引用本文： | 冯良贵.环的S.F.P.维数[J].江西师范大学学报(自然科学版),2000,24(3):198-205. |
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| 作者姓名： | 冯良贵 |
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| 作者单位： | 国防科技大学,数学与系统科学系,湖南,长沙,410073 |
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| 摘 要： | 定义了环的Ｓ．Ｆ．Ｐ．维数，给出了Ｓ．Ｆ．Ｐ．维数为１的交换拟局部环的特征刻画，对凝聚环得了ｇｌｄｉｍＲ＝ｍａｘ（ｗｇｌｄｉｍＲ，Ｓ．Ｆ．Ｐ．ｄｉｍＲ－１），从而对凝聚环，尤其是总体维数为２的拟局环进行了分类，最后还考察了Ｃ－ｅｘｃｅｌｌｅｎｔ扩张。
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| 关 键 词： | 环 S.F.P.维数 交换拟局部环 凝聚环 |
S.F.P.Dimension of Rings |
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| FENG Liang-gui.S.F.P.Dimension of Rings[J].Journal of Jiangxi Normal University (Natural Sciences Edition),2000,24(3):198-205. |
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| Authors: | FENG Liang-gui |
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| Abstract: | In this paper,the S.F.P.dimension of a ring has been defined and quasi local commutative rings (or prinicipal ideal domains) with S.F.P.dimension 1 have been characterized. For a coherent ring,we obtain gldim R=max(wgldimR,S.F.P.dimR-1),and classify coherent rings, especially quasi local rings of global dimension 2. We also investigate the S.F.P.dimension of C excellent extensions. |
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| Keywords: | finitely presented almost finitely presented S F P dimension C excellent extension |
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