… rings R possess the property that their weak-injective modules … of which is the injective or
the weak-injective envelope of a … pairs involving the classes of weak-injective and injective …

… , we conclude that if R is commutative, then every simple R-module is ι-indigent or
injective if and only if R is either a V -ring or R = A×B, where A is semisimple, and B is a QF-…

… Suppose R is a commutative ring such that (P1, D) is a cotorsion pair. … -injective — this
follows at once from the equality of divisible and weak-injective modules over almost perfect rings; …

… and the corresponding theorems for when E(R) is A-injective, are proved.* … condition for
injective and quasi-injective modules and the development of the maximal quotient ring; see Ref. …

… self-injective von Neumann regular rings R in the following way. To a pair (A,G) the (opposite
ring to) the ring of … To a left self-injective von Neumann regular associative ring R, the full …

… pair (A ,B) of classes of R-modules is called a cotorsion pair … -injective by [9, Corollary 7.2.3],
we have that K is injective by … is C-injective, and hence R is a left strongly C-coherent ring by …

… that the ring is noetherian or pure-semisimple we show that all limit models are Σ-injective
(see … All rings considered in this paper are associative with an identity element. A module M is …

… pair if A ⊥ 1 = B and B ⊥ 1 = A . For the notion of a complete cotorsion pair we refer to [10]. …
Consider an injective R-module E containing X. Then for every n ≥ 1 we have Ext R n ( R S , …

… in particular, for injective homological ring epimorphisms, are … perfect topological rings in
another companion paper [31]. … , computing the products of pairs of elements in the ring R , and …

… flat cotorsion pair, are complete over any ring. See Corollary 45(3). But what is new is that
we get completeness of the Ding injective cotorsion pair this way, again over any ring. The …