… over arbitrary associative rings, which is defined using special Gorenstein flat precovers. We
compare the Gorenstein relative homology to the Tate/unbounded homology … be coherent …

… a version of relative homological algebra known as Gorenstein … homological dimension of
groups with the generalized … remove the assumption of coherent rings in many situations when …

… In this paper, we study the relative homological dimension based … are Gorenstein flat if the
ground ring is right coherent and … group algebras of groups over any commutative coefficient …

… in relative homological algebra and algebraic geometry. … is Q-Mittag-Leffler, if the canonical
group homomorphism I is … holds for each flat ring homomorphism of coherent rings. As for …

… analogy with the homological dimensions above, Enochs and … are flat modules and their
relative modules and dimensions. … Let RσH be a right coherent ring, and let V and M be an RσH-…

… Thanks to [23, Corollary 3.12], now we can remove the assumptions of coherent rings and
GF-closed rings in many situations, see for example [15, Theorem 3.14] and the main theorem …

… and some relative modules and … coherent ring then RH is a left n-coherent ring. Moreover,
if RG is a separable extension over RH; the skew group ring RG is a left n-coherent ring …

… 3, we study the vanishing properties of the relative homology group Tor ⁎ GFC ( M , N ) , …
Let R 1 be a commutative non-coherent ring that has finite weak global dimension, and let R …

… ring R is coherent on both sides, we show that silp R + silp Rop = spli R + spli Rop. In particular,
if R is a commutative coherent ring, … In the special case of a left ℵ0-coherent ring, we aim …

… 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 …