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- W2157071889 abstract "Let X be a left R-module. We characterize when the direct sum of two X-extending modules is X-extending via essential injectivity and pseudo injectivity of modules. As a corollary, we show that if extending modules M 1 and M 2 are relatively essentially injective and M 1 is pseudo-M 2-injective (or M 2 is pseudo-M 1-injective) then M 1 ⊕ M 2 is extending. Also we characterize when the direct sum of two CESS-modules is CESS. Some characterizations of almost Noetherian rings are also given by relative (quasi-) continuity of left R-modules." @default.
- W2157071889 created "2016-06-24" @default.
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- W2157071889 date "2001-04-30" @default.
- W2157071889 modified "2023-09-25" @default.
- W2157071889 title "ONX-EXTENDING ANDX-CONTINUOUS MODULES" @default.
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- W2157071889 doi "https://doi.org/10.1081/agb-100002397" @default.
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