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(n,d)平坦左R-模的几个性质
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作者 汪建 《金陵科技学院学报》 2007年第4期1-3,109,共4页
设R是任意带单位元的结合环,一个左R-模K被称为是左(n,d)平坦的。如果对任意的n表现的右R-模M,均有Tord+1(M,K)=0。给出了(n,d)平坦左R-模的几个性质,用(n,d)平坦左R-模对右(n,0)环和右n-凝聚环作了一些刻画。证明了:环R是右(n,0)环,当... 设R是任意带单位元的结合环,一个左R-模K被称为是左(n,d)平坦的。如果对任意的n表现的右R-模M,均有Tord+1(M,K)=0。给出了(n,d)平坦左R-模的几个性质,用(n,d)平坦左R-模对右(n,0)环和右n-凝聚环作了一些刻画。证明了:环R是右(n,0)环,当且仅当任何以(n,0)平坦左R-模为中间项的左R-模短正合列是n纯。环R是右n-凝聚环,当且仅当任何左R-模短正合列0→A→B→C→0,如果B C是(n,d)平坦的,则A也是(n,d)平坦的。 展开更多
关键词 (n d)平坦左R-模 n×纯 n×纯子模
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Some Unicity Results for Meromorphic Functions Whose n-th Derivatives Share the Same 1-Points
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作者 YUAN Wen-jun Seiki MORI 《Chinese Quarterly Journal of Mathematics》 CSCD 北大核心 2005年第3期226-231,共6页
In this paper, we consider the problem of the uniqueness for meromorphic functions whose n-th derivatives share the same 1-points. The results in this paper are different from all of theorems given by H X Yi and C C Y... In this paper, we consider the problem of the uniqueness for meromorphic functions whose n-th derivatives share the same 1-points. The results in this paper are different from all of theorems given by H X Yi and C C Yang and other authors. 展开更多
关键词 meromorphic function uniqueness theorem share values
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PURIFICATION OF L-METHIONINE AND N-ACETYL-D-METHIONINE FROM THE MIXTURE OF ENZYMATICALLY DEACYLATED N-ACETYL-DL-METHIONINE
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作者 YANXiaomin ZHAOLin +2 位作者 SHAOJianhui TANXin SONGZhengxiao 《Chinese Journal of Reactive Polymers》 2004年第1期13-21,共9页
N-acetyl-D-methionine, NaAc and the remains of N-acetyl-L-methionine dramatically affect the purification of L-methionine when purified from the mixture of enzymatically deacylated N-acetyl-DL-methionine, leading to a... N-acetyl-D-methionine, NaAc and the remains of N-acetyl-L-methionine dramatically affect the purification of L-methionine when purified from the mixture of enzymatically deacylated N-acetyl-DL-methionine, leading to a low yield conventionally. Here, this paper reports a successful separation and purification of both L-methionine and N-acetyl-D-methionine by an H ion-exchange column. The pH, L-Met concentration and the ratio between the content of sodium cation and the ion-exchange capacity were optimized to obtain the maximum yield. Experimental results indicate that, under the optimized conditions, the yields of L-methionine and N-acetyl-D-methionine can reach as high as 85% and 75%, respectively. 展开更多
关键词 Enzymatic deacylation hydrolysed of n-acetyl-DL-methionine Strong acid ion-exchanger separation of L-methionine and n-acetyl-D-methionine.
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