| 凝聚半局部环的余维数 |
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| 引用本文： | 唐高华,龙伟忠. 凝聚半局部环的余维数[J]. 广西师范学院学报(自然科学版), 1997, 0(1) |
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| 作者姓名： | 唐高华 龙伟忠 |
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| 作者单位： | 广西师范学院数学系!南宁，530001(唐高华)，广西机械工业学校!南宁，530007(龙伟忠) |
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| 摘 要： | 文[1]在正则局部环上证明了著名的Aushnder－Buchsbaum定理。文[2]将此定理推广到凝聚局部环上讨论，得到了更一般的结论。本文是在更广泛的凝聚半局部环上讨论此问题，推广了文[1]和文[2]的结论。该文中的环均指有单位元的交换环，模指幺模。
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| 关 键 词： | 凝聚环 半局部环 余维数 有限表现的模 |
Codimension of Coherent Semiocal Rings |
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| Tang Gaohua. Codimension of Coherent Semiocal Rings[J]. Journal of Guangxi Teachers Education University:Natural Science Edition, 1997, 0(1) |
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| Authors: | Tang Gaohua |
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| Abstract: | The famous Auslander-Buchsbaum Theorem had been proved over regular local rings in[1]. This Theorem had been generalized to coherent local rings in [2]. Inthis paper,We discuss this problem over coherent semiocal rings. The results in [1] and [2]have been generalized. |
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| Keywords: | Coherent ring semilocal ring codimension finitely presented module |
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