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- W3202064870 abstract "We define a module M to be G r-extending if for each exact submodule X of M there exists a direct summand D of M such that X∩D is essential in both X and D. We investigate G r-extending modules and locate the implications between the other extending properties. We study decomposition theory and extensions for G r-extending concept. We show that if a ring is right G r-extending, then so its essential overring. It is shown that G r-extending property is inherited by its rational hull. We provide examples by making special choices of left exact preradicals." @default.
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- W3202064870 date "2021-09-30" @default.
- W3202064870 modified "2023-09-23" @default.
- W3202064870 title "Goldie extending property on the class of exact submodules" @default.
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- W3202064870 doi "https://doi.org/10.1080/00927872.2021.1980580" @default.
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