integrated monitoring (IM)

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.

把由向量丛态射诱导出的三个特殊丛推广到模丛态射中,得到了相应的三个模丛:ker丛、im丛和coker丛;证明了如果两Z-模丛的纤维是可除的,则态射f诱导出的模丛imf和cokerf是局部平凡的;如果两模丛的纤维都是半单纯模,则三个诱导丛都是局部平凡的。