管范畴中的短正合列的进一步研究

Further Discussion of Short Exact Sequence in Tube Category

讨论管范畴中模的满同态.运用不可分解模的特殊生成元的定义,分析出满同态的一些性质,得到关于管范畴中模的满同态和短正合列的几个结论,为研究与管范畴对应的Hall代数的Hall多项式打下了一定的基础.

In this paper, we discuss the epimorphism of modules in tube category. By using special generator of indecomposable module, we get some conclusions of short exact sequence and epimorphism of modules, which are the fundament of Hall polynomial of Hall algebra corresponding to tube category.