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Separable functors have been introduced by C. NLtBsescu, M. Van den Bergh and F. Van
Oystayen in [I]. Here we start the study of separability in a very general context where F: C-+ …

A subset system Z assigns to each partially ordered set P a certain collection Z (P) of
subsets. In this paper, a new kind of subset systems called directable subset systems is …

Recall that a left module A (resp. right module B) is said to be singly injective (resp. singly
flat) if Ext^ 1 _ R (F/K, A)= 0 E xt R 1 (F/K, A)= 0 (resp. Tor _ 1^ R (B, F/K)= 0 Tor 1 R (B, F/K) …

In this paper, it is shown that any non-M-cosingular ⊕-supplemented module M is (D_3) if
and only if M has the summand intersection property. Let N∈σM be any module such that …

Let R be a ring. A right R-module A is said to be C-flat if the kernel of any epimorphism B→ A
is C-pure in B, ie the induced map Hom (C, B)→ Hom (C, A) is surjective for any cyclic right …

Equivalences and Dualities between FCI and FGP Modules 1 Introduction Page 1 International
Journal of Algebra, Vol. 3, 2009, no. 19, 911 - 918 Equivalences and Dualities between FCI …

Let and be two corings over a ring A and be a morphism of corings. We investigate the
situation when the associated induced (“corestriction of scalars”) functor ℳ→ ℳ is a …

Let XX be an extension-closed subcategory of a triangulated category such that XX admits a
weak-cogenerator W W. We investigate finite resolutions by objects in XX and X X-resolution …