… We prove that global dimension and other homological … 2.1 that relative separability is
stronger than the condition, relative … S is a left coherent ring\Leftrightarrow A is a left coherent ring…

… Our own interest in self-equivalence groups comes from Kontsevich’s homological mirror
conjecture in [30]. One consequence of this conjecture is that, for Calabi-Yau varieties to which …

… through complete resolutions, has been the subject of several recent expositions. At first, it
was defined for finite groups G … dimension of unbounded complexes over right coherent rings. …

… Because the class FI(S) over a coherent ring S is … nth homology groups of T(F•) give left
derived functors LnT of T. Similarly, the right derived functors RnT are the nth cohomology 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. …

… In particular, we show that over a right coherent ring R, ̂ tor … defined for representations
of finite groups. Avramov and … absolute homology functor Tor, relative homology functor Tor …

… In this paper, we first extend Kiehl’s theory of coherent … homological algebra calculations
over nonnoetherian rings, … Let A be the completion of the group ring Zp[Γ] with respect to …

… group of morphisms from C to D in Com(R) and Ext i (C, D) for i ≥ 1 will denote the groups
we get … ℋom(C, D) denotes the complex of abelian groups with , and δ n ((f i ) i∈ℤ ) = (δ n+i f i …

… over an n-coherent ring, we present the concept of n-… We begin with some categorical and
homological preliminaries. In … In Section 3 we study injectivity relative to objects of type FPn. …

… theory captures some variety of homological algebra, or relative homological algebra. In
fact… R-modules where R is any right coherent ring. The cofibrant objects in this model structure …