Bulletin of the
Korean Mathematical Society BKMS

In 1984, Oshiro [11] has studied the decomposition of continuous lifting modules. He obtained the following: every continuous lifting module has an indecomposable decomposition. In this paper, we study extending lifting modules. We show that every extending lifting module has an indecomposable decomposition. This result is an expansion of Oshiro's result mentioned above. And we consider some application of this result.

Keywords: local summand, extending module, lifting module, (internal) exchange property, local endomorphism ring

MSC numbers: Primary 16D40, 16D70, 16L30