国际农业工程学会(CIGR)各组学术活动预告 |
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摘 要: | 国际农业工程学会“通讯”载有各组将举行的学术活动计划,现摘登其主要学术内容及联系地址如下。愿意参加活动的我会会员,可直接与其联系,报学会秘书处备案。
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收稿时间: | 1990-02-26 |
Homological Properties of PS-Rings |
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Abstract: | Let R be a ring, S = Soc(RR). R is called a PS-ring if S_R is projective. In this paper, we will give a characterization of the PS-rings by showing the following results:Theorem 1.4 The following statements are equivalent for a ring R:(1) R is a. PS-ring;(2) S = S;(3) For every homogenous component Hi, of SR, R/Hi is a flat left R- module;(4) R/S is a flat left R-module.Theorem 2.4 Let R be a PS-ring, R = R/S,and M a right .R-module. Then ridR(M=ridRM)).Corollary 2.8 Let R be a primitive ring. Then WD(R) = WD(R/S). |
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