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 excellent extension 优越扩张(10)excellent扩张(2)优扩张(0)
 优越扩张
 We also study almost excellent extension and Spilt null extension of simple J-injective rings. 我们还研究了单J—内射环上的几乎优越扩张,Spilt Null扩张等扩张。 短句来源 S is a generalized excellent extension of ring R . 设S是R的广义优越扩张。 短句来源 In this paper, we introduce strongly almost excellent extensions and show that if S≥R is a(n) (strongly almost) excellent extension then S is right Π_ coherent if and only if R is right Π_ coherent. 本文中我们引进强几乎优越扩张的概念并证明了若S ≥R是 (强几乎 )优越扩张 ,则S是右Π_凝聚环当且仅当R是右Π_凝聚环。 短句来源 We show that if S is almost excellent extension of R,then Ms is simple J-injective moduleM_R is simple J-injective module. 给出了若S是R的几乎优越扩张,则MS是单J-内射模MR是单J-内射环模. 短句来源 S was an excellent extension of ring R. 设S是R的优越扩张。 短句来源 更多
 excellent扩张
 ln this papsr,we prove that the weak dimension of M as an Smodule is equsI to the weak dimension M as an R-module ,and the weak dimension of S is equal to the weak dimension of R, when S in an excellent extension of R and M is an S-module. 在这篇文章里，我们证明了，当环S是R的excellent扩张，M是S－模时，M做为S－模的弱维数与M做为R－模的弱维数相等。 短句来源 The theories of rings and module categories are used to study the left Excellent extensions and left global dimensions. The result shows that the left global dimension of S is equal to the left global dimension of R,where S is a left Excellent extension of R. 利用环和模范畴的有关理论,研究环的左Excellent扩张与左总体维数,证明了当环S是环R的左Excel-lent扩张时,lgdS=lgdR,并推广了有关的结论. 短句来源
 “excellent extension”译为未确定词的双语例句
 It can provide reliable basic parameters for roadway supporting design and have excellent extension and application foreground. 为巷道支护设计提供可靠的基础参数,具有很好的推广应用前景。 短句来源 Thirdly, ANN provides excellent extension capability. 第三、ANN得到模型的函数关系后，易于扩展。 短句来源 An excellent extension staff member should have three aspects of fundamental abilities i.e.abilities of mastering knoweledge,abilities of organizstion and abilities of broadcasting and extension. 一名优秀的农业科技推广人员必须具备三种基本才能．即：知识才能、组织才能、宣传推广才能。 短句来源 Dreams of the Red Mansion is the vivid account of Chinese dream culture and the excellent extension of Chinese fairy tales. 《红楼梦》是中国梦文化的形象写照,是作者对神话的一种延伸； 短句来源

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 excellent extension
 What is the first step beyond this dreaming activity? Understanding where future research in this area could move is an excellent extension of this work. For a right excellent extension S of a ring R, it is proved that R is right, finitely Σ-CS if and only if S is the same. For a right excellent extension of a ring , it is proved that is right finitely -CS if and only if is the same. High correlation of both sets of data suggests that the proposed methods might provide an excellent extension of noninvasive procedures in the first months of a childs life. Assuming thatS?R is an almost excellent extension,S is shown to be (strongly) right co-semihereditary if and only ifR is (strongly) right co-semihereditary. 更多
 ln this papsr,we prove that the weak dimension of M as an Smodule is equsI to the weak dimension M as an R-module ,and the weak dimension of S is equal to the weak dimension of R, when S in an excellent extension of R and M is an S-module. 在这篇文章里，我们证明了，当环Ｓ是Ｒ的ｅｘｃｅｌｌｅｎｔ扩张，Ｍ是Ｓ－模时，Ｍ做为Ｓ－模的弱维数与Ｍ做为Ｒ－模的弱维数相等。 In this paper we consider various properties of rings. whirch are shared by R and S when aring S is an excellent extension of a ring R. In particular, we show that when S is an excellentextension of R. if either ring is (i) left coherent. or (ii) right semi-heredilary, or (iii) a right S3lring in the sense that every semisimqple singular risht module is injective. or (iv) an almost Noetherianring in the sense that every finitely generated singular right module is Noetherian, or (v) a rightperfect ring.... In this paper we consider various properties of rings. whirch are shared by R and S when aring S is an excellent extension of a ring R. In particular, we show that when S is an excellentextension of R. if either ring is (i) left coherent. or (ii) right semi-heredilary, or (iii) a right S3lring in the sense that every semisimqple singular risht module is injective. or (iv) an almost Noetherianring in the sense that every finitely generated singular right module is Noetherian, or (v) a rightperfect ring. then so is another. Ｅｘｃｅｌｌｅｎｔ　Ｅｘｔｅｎｓｉｏｎｓ　ｏｆ　ＲｉｎｇｓＬｉｕＺｈｏｎｇｋｕｉ（刘仲奎）ａｎｄＷａｎｇＴｉｎｇＺｈｅｎ（王廷桢）（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｃｍａｔｉｃｓ，ＮｏｒｔｈｗｅｓｔＮｏｒｍａｌＵｎｉｖｅｒｓｉｔｙ，Ｌａｎｚｈｏｎ，７... Abstract The reasons that agricultural scientific achievements cant be completely applied are varions This situation is caused by the lower abilities of extension staff member in a large extent.An excellent extension staff member should have three aspects of fundamental abilities i.e.abilities of mastering knoweledge,abilities of organizstion and abilities of broadcasting and extension. 科技成果不能被应用的原因是多方面的，但与目前我国农业科技推广人员的各种能力较低有着极大的关系。一名优秀的农业科技推广人员必须具备三种基本才能．即：知识才能、组织才能、宣传推广才能。 << 更多相关文摘
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