Bull. Korean Math. Soc. 2009; 46(6): 1069-1077
Printed November 1, 2009
https://doi.org/10.4134/BKMS.2009.46.6.1069
Copyright © The Korean Mathematical Society.
Chaehoon Chang and Jongmoon Shin
Kyungpook National University and Dongguk University
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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