Full article: DG-Injective Covers, #-Injective Covers Skip to Main Content Taylor and Francis
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!THE $\aleph_1$-PRODUCT OF DG-INJECTIVE COMPLEXES Page 1 Proceedings of the
Edinburgh Mathematical Society (2006) 49, 257–266 c DOI:10.1017/S0013091505000143 …

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 …

It is known that a ring R is left Noetherian if and only if every left R-module has an injective
(pre) cover. We show that (1) if R is a right n-coherent ring, then every right R-module has an …

Absolutely pure modules act in ways similar to injective modules. There are conditions on a
ring which guarantee that the class of injective modules will be covering. In this article, we …

A ring R is left noetherian if and only if the direct sum of injective envelopes of any family of
left R-modules is the injective envelope of the direct sum of the given family of modules (or …

Full article: Coherent rings and absolutely pure covers Skip to Main Content Taylor and Francis
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Let N be a left near ring and let M be a right N-module. We recall [1] that M is called injective
iff every diagram can be embedded into a commutative diagram where A and B are right N …

We prove the following results for a ring R.(a) If C is a class of right R-modules closed under
direct summands and isomorphisms, then every right R-module has an epic C-envelope if …

Full article: Coherent rings and absolutely pure precovers Skip to Main Content Taylor and
Francis Online homepage Taylor and Francis Online homepage Log in | Register Cart 1.Home …