By means of introducing semi-reflexive modules,we give the concept of SR-projective modules and SR-injective modules.
通过引入半自反模,给出了SR-投射模与SR-内射模的概念,并且分别研究了它们的性质。
In this thesis,offering the definition of SR-projective modules and corresponding propositions,by means of introducing semi-reflexive modules,we have proved a definition of equal value of injective modules.
本文通过对半自反模的引入,给出了SR-投射模的定义及相应命题,同时证明了内射模的一个等价定义,进而研究了SR-投射模与内射模之间的关系。
In this paper, we definde the dual semimodule and reflexive semimodule in the category of semimodules and completely generalize the results of dual modules and reflexive modules to the dual semimodules and reflexive semimodules.
本文在半模范畴中建立了对偶半模与自反半模的概念 ,并把模范畴中有关模的对偶性与自反性的结果完整地推广到半模范畴
In this paper,we introduce semi-reflexive module by means of semi-reflexive radical,and introduce semi-reflexive dimension of module in terms of meta-projectivity.
从不同角度引入半自反模和半自反维数的概念 ,并根据半自反维数的特性 ,讨论了环的分类 ,给出了半自反维数为 0和 1的两类环的存在性以及GN -环上的有限生成半自反模的结构 ,即他是有限生成自由模的子模 。
This paper gives a new uniform convexity definition with neighbourhoods in locally convex spaces, we obtain that locally convex spaces of both quasi-completeness and uniform convexity are semi-reflexive, generalize the conclusion of uniform convexity of locally convex spaces put forward by Wu Congxin and have solved his remaining problems.
利用邻域给出局部凸空间的一致凸性的新定义,证明了亚完备的一致凸空间是半自反的,推广了吴从炘等局部凸空间一致凸性的结果,并且解决了其定义不能够解决的问题。