MATLIS INJECTIVE MODULES

作者:Yan, Hangyu*
来源:Bulletin of the Korean Mathematical Society, 2013, 50(2): 459-467.
DOI:10.4134/BKMS.2013.50.2.459

摘要

In this paper, Maths injective modules are introduced and studied. It is shown that every R-module has a (special) Maths injective preenvelope over any ring R and every right R-module has a Maths injective envelope when R is a right Noetherian ring. Moreover, it is shown that every right R-module has an F-perpendicular to 1-envelope when R is a right Noetherian ring and F is a class of injective right R-modules.

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