| HOMOLOGICAL PROPERTIES OF TORSION CLASSES UNDER CHANGE OF RINGS |
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| 作者姓名： | Yao Musheng |
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| 摘 要： | ＨＯＭＯＬＯＧＩＣＡＬ ＰＲＯＰＥＲＴＩＥＳ ＯＦ ＴＯＲＳＩＯＮ ＣＬＡＳＳＥＳ ＵＮＤＥＲ ＣＨＡＮＧＥ ＯＦ ＲＩＮＧＳ ￥ＹＡＯＭＵＳＨＥＮＧＡｂｓｔｒａｃｔ：ＬｅｔＲｂｅａｒｉｎｇｗｉｔｈｉｄｅｎｔｉｔｙ，ｘｂｅａｃｅｎｔｒａｌｅｌｅｍｅｎ...
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| 关 键 词： | 环 陶森理论 一致性 中央基 |
| 收稿时间： | 1991/11/18 0:00:00 |
| 修稿时间： | 1/3/1992 12:00:00 AM |
HOMOLOGICAL PROPERTIES OF TORSION CLASSES UNDER CHANGE OF RINGS |
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| Yao Musheng.HOMOLOGICAL PROPERTIES OF TORSION CLASSES UNDER CHANGE OF RINGS[J].Chinese Annals of Mathematics,Series B,1994,15(1):1-8. |
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| Authors: | Yao Musheng |
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| Institution: | YAO MUSHENG |
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| Abstract: | Let $R$ be a ring with identity, $x$ be a central element of $R$
which is neither a unit nor a zero divisor. $S=R/xR$ is the quotient
ring of $R$ and $\varphi :R\to R/xR$ is the natural map.
$R$-Mod\, (resp.
$S$-Mod) denotes the category of unital left $R$-modules(resp. $S$-modules).
In this paper, relationships betwee torsion theories on $R$-Mod
and torsion theories on $S$-Mod are investigated. Properties of
the functor Ext$^n_R(N,-)$ are given. Properties of the
localization functor $Q_{\si}$are also investigated. |
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| Keywords: | Ring Torsion theory Module Homological proprties |
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