〖FI〗_ss-Lifting Modules
Abstract
The purpose of this note is to show some key features of 〖FI〗_ss-lifting and strongly 〖FI〗_ss-lifting modules. We examine that under whose condition for direct summands, direct sums and submodules of (strongly) 〖FI〗_ss-lifting modules are (strongly) 〖FI〗_ss-lifting. We give an example to exhibit that an FI-lifting module needs not to be 〖FI〗_ss-lifting. We provide that the property of being strongly 〖FI〗_ss-lifting module is inherited by direct summands.
Keywords
ss-supplement submodule, 〖FI〗_ss-lifting module, strongly 〖FI〗_ss-lifting module
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