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http://dx.doi.org/10.4134/BKMS.2013.50.2.459

MATLIS INJECTIVE MODULES  

Yan, Hangyu (China Pharmaceutical University)
Publication Information
Bulletin of the Korean Mathematical Society / v.50, no.2, 2013 , pp. 459-467 More about this Journal
Abstract
In this paper, Matlis injective modules are introduced and studied. It is shown that every R-module has a (special) Matlis injective preenvelope over any ring R and every right R-module has a Matlis injective envelope when R is a right Noetherian ring. Moreover, it is shown that every right R-module has an ${\mathcal{F}}^{{\perp}1}$-envelope when R is a right Noetherian ring and $\mathcal{F}$ is a class of injective right R-modules.
Keywords
Matlis injective module; (pre)envelope; ${\sum}$-pure injective;
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