Synthesis of New Ferrocenyl‐Substituted Aziridines via the Gabriel–Cromwell Reaction

Abstract

The Gabriel–Cromwell method is applied successfully in the synthesis of ferrocenyl‐substituted aziridines. Acryloyl‐ and crotonoylferrocenes are brominated first and then reacted with benzylamine, diisopropylamine, and furfurylamine in the presence of triethylamine. The aziridines are obtained in more than 90% isolated yields.     

On noncommutative piecewise Noetherian rings

We extend the definition of a piecewise Noetherian ring to the noncommutative case, and investigate various properties of such rings. In particular, we show that a ring with Krull dimension is piecewise Noetherian. Certain fully bounded piecewise Noetherian rings have Gabriel dimension and exhibit the Gabriel correspondence between prime ideals and indecomposable injective modules.     

广义路余代数和广义对偶Gabriel定理

通过将箭图的每个顶点放置一个k-余代数,首先引进了广义路余代数的概念,其次给出了广义路余代数的一些基本性质,还讨论了同构问题.证明了两个正规广义路余代数是同构的当且仅当他们的箭图及对应顶点上的单余代数是同构的.对于满足Codim C_0■1余代数C,证明了对偶Wedderburn-Malcev定理成立.作为广义路余代数的一个应用,推广了点余代数的对偶Gabriel定理.     

T拟内射模与TQI环

本文定义并刻划了Ｔ拟内射模与Ｔ拟内射包，证明了ＷＧ－ｃｏｃｒｉｔｉｃａｌＴ拟内射模的自同态环为正则非奇异右自内射环．最后讨论了Ｔ拟内射模与Ｔ内射模一致的环，即ＴＱＩ环．还给出了Ｇａｂｒｉｅｌ拓扑Ｇ中每个右理想Ｔ拟内射的几个等价条件     

Gabriel Dimension for Graded Rings

Using techniques of localization for Grothendieck categories with a family of projective generators, we show that for a graded ring R = ⊕ _σ∈G R _σ with finite support if R _e has Gabriel dimension then has Gabriel dimension. Moreover, adding some lattice results, we prove that if has Gabriel dimension then also has Gabriel dimension. This research has been supported by grant MTM2005-3227 from MEC.     

Krull–Gabriel Dimension of 1-domestic String Algebras

We classify the indecomposable pure injective modules over a wide class of -domestic string algebras and calculate the Krull–Gabriel dimension of these algebras.This paper was written during the visit of the second author to the University of Manchester supported by EPSRC grant GR/R44942/01.     

Noether环上加性秩函数对应的Gabriel拓扑与相应商环的构造

本文利用［１］中建立的关系,给出了半素右Ｎｏｅｔｈｃｒ环上所有加性秩函数对应的Ｇａｂｒｉｅｌ拓朴与相应商环的构造,并建立了一般Ｎｏｅｔｈｅｒ环上加性秩函数与Ａｒｔｉｎ环上模范畴中的有限长之间的联系．     

关于Quotient Context of Morita Context的讨论

本文讨论了ＱｕｏｔｉｅｎｔＣｏｎｔｅｘｔｏｆ Ｍｏｒｉｔａ Ｃｏｎｔｅｘｔ的一些性质,并在此基础上证明：如果ＤＲ是一个完备Ｇａｂｒｉｅｌ拓扑,则一个（Ｐ,Ｑ）的商（Ｐ,Ｑ）作为Ｒ与Ｓ之间ＭＣ,它的商同构于（Ｐ,Ｑ）的一个商。     

单端与双端氨基聚乙二醇的制备

用Mitsunobu反应改进盖布瑞尔合成法,以邻苯二甲酰亚胺为原料,分别制得单端和双端取代的聚乙二醇衍生物(3和5);3和5经肼解反应制得单端和双端氨基取代的聚乙二醇,其结构经1H NMR和MS(ESI)确证。     

Graded Endomorphism Rings and Equivalences

Abstract

Let R be a G-graded ring,M a G-graded Σ-quasiprojective R- module,and E = END _R (M) its graded ring of endomorphisms. For any subgroup H of G,we prove that certain full subcategories of G/H-graded R-modules associated with M are equivalent to a quotient category of G/H-graded E-modules determined by the idempotent G-graded ideal of E consisting of endomorphisms which factor through a finitely generated submodule of M. Properties and applications of these equivalences are also examined.