Relative homological groups over coherent rings Page 1 Quaestiones Mathematicae 35(2012),
331–352. c⃝ 2012 NISC Pty Ltd, www.nisc.co.za RELATIVE HOMOLOGICAL GROUPS OVER …

In this paper, we study criteria for the equality between the homological and the
cohomological dimension of a group. In particular, we obtain criteria for the freeness of …

In this paper, we show that the injective dimension of all projective modules over a
countable ring is bounded by the self-injective dimension of the ring. We also examine the …

In this paper, we examine the invariants silp R and spli R that were defined for any ring R by
Gedrich and Gruenberg [9]. If the ring R is coherent on both sides, we show that silp R+ silp …

In this paper we study the homological dimension of skew group rings and crossed products.
A sufficient condition for R∗ G, a crossed product, to have finite right global dimension is …

In basic homological algebra, the flat and injective dimensions of modules play an important
and fundamental role. In this paper, the closely related IFP-flat and IFP-injective dimensions …

In this paper, we study the class of complexes of FP-injective left R-modules. It is shown that
the pair is a complete cotorsion pair. If R is a left coherent ring, it is proved that every …

Let R be a left and right ℵ0-Noetherian ring. We show that if all projective left and all
projective right R-modules have finite injective dimension, then all injective left and all …

We introduce the concepts of (n, d)-injective and (n, d)-flat as generalizations of injective, flat
modules and homological dimensions, and use them to characterize right n-coherent rings …

Let R be a ring and let H be a subgroup of a finite group G. We consider the weak global
dimension, cotorsion dimension and weak Gorenstein global dimension of the skew group …