Frontiers of Mathematics in China >
Strongly lifting modules and strongly dual Rickart modules
Received date: 14 Aug 2015
Accepted date: 03 Feb 2016
Published date: 01 Feb 2017
Copyright
The concepts of strongly lifting modules and strongly dual Rickart modules are introduced and their properties are studied and relations between them are given in this paper. It is shown that a strongly lifting module has the strongly summand sum property and the generalized Hopfian property, and a ring R is a strongly regular ring if and only if RR is a strongly dual Rickart module, if and only if aRis a fully invariant direct summand of RRfor every a ∈ R.
Yongduo WANG . Strongly lifting modules and strongly dual Rickart modules[J]. Frontiers of Mathematics in China, 2017 , 12(1) : 219 -229 . DOI: 10.1007/s11464-016-0599-7
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