We establish a duality between injective envelopes and flat covers over a commutative
Noetherian ring. One case of this duality states that a morphism is an injective envelope, if …

In [3], Del Valle, Enochs and Martınez studied flat envelopes over rings and they showed
that over rings as in the title these are very well behaved. If we replace flat with injective and …

We characterize left Noetherian rings in terms of the duality property of injective
preenvelopes and flat precovers. For a left and right Noetherian ring R, we prove that the flat …

Using the dual of a categorical definition of an injective envelope, injective covers can be
defined. For a ring R, every left R-module is shown to have an injective cover if and only if R …

ON THE RINGS WHOSE INJECTIVE HULLS ARE FLAT 1. Introduction Let R be a
commutative Noetherian ring with nonzero identity and let Page 1 PROCEEDINGS OF THE …

We show that for a commutative noetherian local ring R, every Matlis reflexive R-module has
a reflexive injective envelope if and only if every Matlis reflexive R-module has a reflexive …

Full article: DG-Injective Covers, #-Injective Covers Skip to Main Content Taylor and Francis
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Using the dual of a categorical definition of an injective envelope, Enochs defined an
injective cover. In this paper we will show how injective covers can be used to characterize …

All the rings will be associative with identity and the modules will be unital. If M is a right
module we denote by M* the dual module Hom „(M., R) of M. If M is a right R-module, a flat …

In this paper we develop a general theory of modules which are invariant under
automorphisms of their covers and envelopes. When applied to specific cases like injective …