ZHANG Fei-jun1,2, LI Kai-tai1
(1 Collage of Science, Xi'an Jiaotong University, Xi′an 710049, Shaanxi, China;2 College of Mathematics and Information Science, Shaanxi Normal University, Xi′an 710062, Shaanxi, China)
Abstract:
Expand three especial induced vector bundles induced by a morphism of vector bundles to those induced by a morphism of module bundles so that three module bundles, ker bundles, im bundles and coker bundles are obtained. It is proved that if fibre of two Z-module bundles is divisible, then the module bundles imf and cokerf induced by a morphism f are locally trivial. When the fibres of two module bundle are semi-simplicial module, it is shown that three induced bundles, kerf, imf and cokerf are locally trivial. Lastly, by using exact sequences, some relations between kerf, imf and cokerf are given.
KeyWords:
fiber bundle; module bundle; ker bundle; im bundle; coker bundle
