… rings are assumed to be coherent in [15]; as a generalization, the notion of GF-closed rings
… can remove the assumptions of coherent rings and GF-closed rings in many situations, see …

… nX-coherent rings. We then investigate the relations among Gorenstein nX-injective, nX-flat,
injective and flat modules on X-FC-rings (ie, self nX-injective and nXcoherent rings). … groups, …

… these classes in relative homological algebra and algebraic … -Leffler modules, and flat relative
Mittag-Leffler modules, have … coherent sheaves induced by the property \(P_R\) of rings R. …

… homological invariants of Γ were studied in [25]. A class of modules that has received special
attention in Gorenstein homological algebra during … that provided the ring is coherent, the …

… ) homological algebra, representation theory of groups and … rings, we obtain that, over a left
and right coherent ring R, the … by DXpR-Modq the relative derived category with respect to RX …

… over a general ring R we define a co-Tate homology group ̂ … role in the theory of relative
homological algebras. If a class of R-… (ii) Recall that R is a right Π-coherent ring if every finitely …

… Then we relate the relative global Gorenstein homological … setting of a left and right coherent
ring R, the supremum of Ding … is the additive group of integers and Q is the additive group of …

… coherent ring R (in Teorem 1). Tis leads to new characterizations of von Neumann regular
and semihereditary rings… homological properties of local P-rings and demonstrated that a local …

… strongly nonnil-coherent rings are nonnil-coherent. Question … every nonnil-coherent ring is
always strongly nonnil-coherent?. … the homological methods in strongly nonnil-coherent as in …

… The aim of this book is to extend the semiinfinite homological … of quasicoherent torsion
sheaves over Y relative to X is … the ring of integers or, equivalently, the product of the rings of …