… Throughout this paper, all rings are associative rings with unit. Let R be a ring. We use Mod
R (respectively, Mod Rop) to denote the category of left (respectively, right) R-modules. We …

… complexes over a commutative noetherian ring R by investigating the associated Auslander
… Next, we prove the adic version of Foxby Equivalence, which is Theorem 1.1 in the …

… with Gorenstein injective modules over an n-Gorenstein ring R. By [Citation4, Theorem
12.3.1], if R is an n-Gorenstein ring, then the Gorenstein global dimension of R is no more than n. …

… and carry out a study of the homological dimensions associated with them. We prove, under
some … are closely and interestingly related to the Foxby classes induced by a pair of functors. …

… and S will be associative (non-necessarily commutative) rings with identity, … associate to M
the Homotopy category, HoA(M), which is defined by formally inverting the weak equivalences …

… In Section 3 we turn to the definition of support over a commutative noetherian ring and we
… In particular, we conclude that a bounded cosilting objects whose associated t-structure is …

… ∞- C-torsionfree modules over any ring R. Moreover, when … torsionfree modules in terms of
Foxby equivalence. Finally, as … Let R and S be two associative rings and an R-S bimodule S …

… this paper, all rings are commutative Noetherian local rings, all … The essence of the next
proposition is the Foxby equivalence … of subcategories is preserved by category equivalences. …

… and Foxby about local cohomology to commutative DG-rings, … Then, in Section 5 we study
regular sequences, associated … -Macaulay DG-ring A which is not equivalent to a ring, such …

… Foxby duality has proven to be an important tool in studying the category of modules over
a local Cohen-Macaulay ring … Let R be a commutative noetherian ring. A semi-dualizing …