Let I be a left or right ideal of the category of left R-modules. We first study the closure
properties of I-preenvelopes and I-precovers of modules under direct sums, direct products …

Let C be a class of R-modules closed under isomorphisms and finite direct sums. It is first
shown that the finite direct sum of almost C-precovers is an almost C-precover and the direct …

Let be a ring, a class of left-modules, the class of submodules of, and the class of quotient-
modules of. It is shown that is precovering (preenveloping) if and only if every injective …

A complex C of R-modules is called#-injective if all terms Ci are injective R-modules for i∈
ℤ. In this paper, we first give some characterizations and properties of#-injective complexes …

Let R be a ring. R is called right AP-injective if, for any a∈ R, there exists a left ideal of R
such that lr (a)= Ra (?) Xa. We extend this notion to modules. A right. R-module M with 5 …

MAXIMAL IDEALS OF THE ENDOMORPHISM RING OF AN INJECTIVE MODULE Page 1
Journal of Algebra and Its Applications Vol. 13, No. 4 (2014) 1350131 (21 pages) c© World …

Let R be an arbitrary ring and let (−)+= HomZ (−, Q/Z), where Z is the ring of integers and Q is
the ring of rational numbers. Let C be a subcategory of left R-modules and D a subcategory …

The notion of an $\mathcal {L} $ complex (for a given class of $ R $-modules $\mathcal {L} $)
was introduced by Gillespie: a complex $ C $ is called $\mathcal {L} $ complex if $ C $ is …

In this paper, the authors extend the concept of n-absorbing ideals of commutative rings as
in [1, 3] and 2-absorbing primary ideal of commutative as in [4, 5] to the context of …

Let M be a left module over a ring R and I an ideal of R. We call (P, f) a projective I-cover of
M if f is an epimorphism from P to M, P is projective, Kerf⊆ IP, and whenever P= Kerf+ X …