Morphic环与PS-环、FS-环和Morita Context环

讨论了在约化的条件下morphic环的一些良好性质,以及morphic环和其他环类之间的关系.

FS-环与FS-模的特征及FS-环与SF-环、PS-环的关系

对FS-环、FS-模进行了研究,给出了FS-环、FS-模的若干性质,指出了FS-环是SF-环的实质性推广,得到了FS-环是SF-环、FS-环是PS-环以及单侧FS-环是双侧FS-环的几个条件,还给出了多项式环上的多项式模是FS-模的一个充分条件.

关于FS—模和FS—环

研究了ＦＳ—模和ＦＳ—环的性质，并利用投射性。

某些环上的有限直和(英文)

证明R是V-环(或GV-环;FS-环;IF-环;FC-环;n-FC环)当且仅当S和T都是V-环(或GV-环;FS-环;IF-环;FC-环;n?FC环),其中S和T是环,R=ST.一般地,当R=im=1Ri时,类似的结论也成立.

Graded FS-Rings

In this paper, we introduce the notation of graded FS-module of the graded module over a group G-graded ring and obtain some characterization involving graded maximal graded left ideal for a graded FS-ring and some equivalent conditions between the ring R and group ring RG, the graded ring R and group ring of graded ring R[G].