On the Construction of d-Continuous Modules over Some Special Rings

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关于近似幂类(N)算子的某些性质

本文主要讨论Hilbert空间中,形如 S=T Q的一类近似算子的性质,其中T是幂类(N)算子(见定义[1]),Q是拟幂零算子,且TQ=QT。我们讨论算子S与T及Q之间其核的关系,并利用超幂理论讨论了其谱的性质,同时证明了对复Hilbert空间H中的任一有界列{x_n),Sx_n→Oiff Tx_n→O且Qx_n→O。     

某类特殊环上d—连续模的结构

In the paper,we using the notation in [1],determine the structure of d-continuous modules over some special rings.     

On the Construction of d—Continuous Modules

In this paper we introduce: and study the notion of dual Gontinuous (d-Contmuous) modnles, A decomposrtion thcorem for a d-continuous modules proved, this generahzes all known decompositron theorems for quasi-projective modules.