Matlis injective modules
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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 F 1 -envelope when R is a right Noetherian ring and F is a class of injective right R-modules.
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 F 1 -envelope when R is a right Noetherian ring and F is a class of injective right R-modules.
참고문헌 (13)
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