| 相对Semicocritical模 |
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| 引用本文： | 赖弋新. 相对Semicocritical模[J]. 青岛大学学报(自然科学版), 2009, 22(3): 4-8. DOI: 10.3969/j.issn.1006-1037.2009.03.002 |
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| 作者姓名： | 赖弋新 |
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| 作者单位： | 青岛大学师范学院数学系,山东,青岛,266071 |
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| 摘 要： | TatswoIzawa曾给出了相对Noetherian条件、相对Artinian条件及相对co-criti-cal模的概念,研究了相对合成列,用同调代数的方法,对链条件和相对链条件进行了讨论,得到了模为相对Semicocritical模的充要条件
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| 关 键 词： | 稠密子模 Noether条件 Artinian条件 挠模 挠子模 |
Relative Semicocritical Module |
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| LAI Yi-xin. Relative Semicocritical Module[J]. Journal of Qingdao University(Natural Science Edition), 2009, 22(3): 4-8. DOI: 10.3969/j.issn.1006-1037.2009.03.002 |
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| Authors: | LAI Yi-xin |
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| Affiliation: | Department of Mathematics;College of Teachers;Qingdao University;Qingdao;266071 China |
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| Abstract: | Tatswo Izawa gave the concepts of relative Noetherian condition,relative Artinian condition and relative co-critical module and studied the relative composition series.By using the homological algebra method,the chain condition and the relative chain condition are discussed.And then a sufficient and necessary condition for a module to be a relative semicocritical module is obtained. |
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| Keywords: | Denisity submodule Noether condition Artinian condition Torsion module Torsion submodule |
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