In this paper, the concepts of weakly short splitting exact sequences which are generalized from splits are introduced.
把短正合列的可裂推广到短正合列的弱可裂,并对弱可裂进行了等价刻画,最后还运用左弱可列证明了平坦模的一个充要条件。
in this paper, the writer proves that the fragmentable spaces belong to theclass Z and he also gives an example in which some spaces belong to the class X, butit is not fragmented.
本文证明了可裂空间必属子£类,同时我们给出了一个例子,某空间属于£类,但它不是可裂的。
Finally, the author proves a proposition about an equivalent condition of flat modules applying with left weak splitting.
把短正合列的可裂推广到短正合列的弱可裂,并对弱可裂进行了等价刻画,最后还运用左弱可列证明了平坦模的一个充要条件。