On the decomposition of extending lifting modules
Bull. Korean Math. Soc. 2009 Vol. 46, No. 6, 1069-1077
https://doi.org/10.4134/BKMS.2009.46.6.1069
Published online November 1, 2009
Chaehoon Chang and Jongmoon Shin
Kyungpook National University and Dongguk University
Abstract : 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
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