Abstract
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 R R is a strongly dual Rickart module, if and only if aR is a fully invariant direct summand of R R for every a ∈ R.
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Wang, Y. Strongly lifting modules and strongly dual Rickart modules. Front. Math. China 12, 219–229 (2017). https://doi.org/10.1007/s11464-016-0599-7
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DOI: https://doi.org/10.1007/s11464-016-0599-7