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Let R be a Gorenstein ring.We prove that if I is an ideal of R such that R/I is a semi-simple ring,then the Gorenstein f......
Let Λ and Γ be left and right Noetherian rings and Λ U a generalized tilting module with Γ = End( Λ U ). For a non-......
The category consisting of finitely generated modules which are left orthogonal with a cotilting bimodule is shown to be......
Kilp and Knauer in (Comm.Algebra,1992,20(7),1841-1856) gave characterizations of monoids when all generators in category......
In this paper, we introduce the concept of semihereditary coalgebras.We investigate the Grothendieck group of coalgebras......
本文借助于模论中的方法,在中心S-系范畴中,给出了上生成子的若干刻画.利用函子的自然同构,给出了平坦S-系的一些刻画,得到了内射......
设H是有限维Hopf代数,C是右H-模余代数,R=C/CH+.如果C/R是H-Galois余扩张且R及R(×)H*关于内射余模满足Krull-Schmidt性质,我......
本文应用经典的Feller-Trotter型算子在Cu[0,∞]空间中局部小o饱和定理,建立Banach空间X上C半群概率表示的局部小o饱和定理。......
在〈 H ;H〉与〈 H;H〉双同态的条件下 ,本文给出了反映〈 H ;H〉中的 A-盈满子集与〈 H;H〉中的 A-盈满子集的关系的几......
本文通过一道近世代数习题的剖析,提出了如何引导学生进行探索性思维的问题。...
建立C-半群的微分与积分公式以及Taylor展开式,并给出C_无穷小生成元的表示式...
应用经典逼近论中Skisha-Mond量化估计方法,研究Banach空间上C-半群概率表示式的量化估计,建立相应的Shisha-Mond型定理。......
研究Banach空间上C半群概率表示式的渐近公式和饱和性质,建立Vonorovskaya型渐近公式及小o饱和定理。......
For a ring A, an extension ring B, a fixed right A-module M, the endomorphism ring D formed by M, the endomorphism ring ......
证明了实C(0,1)空间上几乎等距的正算子一定可以由等距算子逼近。...
For any graph G, the Inj-equitable graph of a graph G, denoted by IE (G) , is the graph with the same vertices as G and ......
研究了算子空间的原子性.证明了算子空间V是原子当且仅当V是正合且有限内射;V内的任意一个有限维算子子空间是原子当且仅当V是原子且......
引入一种广义内射性,称为SC-内射。利用SC-内射性刻画了遗传环、诺特环与阿丁半单环,并给出了SC-内射模的直和仍为SC-内射的条件。......
Partitioning of Any Infinite Set with the Aid of Non-Surjective Injective Maps and the Study of a Re
In this article, we will present a particularly remarkable partitioning method of any infinite set with the aid of <em>n......