… applications in representation theory, algebraic geometry, and cohomological group theory.
… A variant of the Gorenstein flat modules, the so-called PGF-modules, were introduced by …

… Gorenstein flat dimension, precisely on modules possessing a flat resolution with a certain
Gorenstein flat … in [12, Lemma 3.3], that if G is a Gorenstein flat R-module and H is a right R-…

… a local differential graded ring of finite formal dimension (ie; H n ( R … of dga homotopy theory
to the study of Gorenstein spaces in … A variant with G instead of T has also been obtained for …

… cotorsion theory (so again every object has a special Gorenstein … of generators of finite
projective dimension), the class GAC … We will make use of a slight variation of what we know as …

… theory, with an emphasis on the classes of Gorenstein … Gorenstein flat has a finite Gorenstein
projective dimension. We … The in variants called Tate-Betti and Tate-Bass numbers are also …

… Next, we describe the local to global variant of the GLS algorithm given in [6]. This variant is
a … Let A be an affine domain of dimension one over a field k, and let Sing(A) = {P 1 , …, P s } …

… and collaborators on certain variants of KK-theory (see the … Gorenstein dimension of
the ring (a customary abbreviation for Gorenstein rings of Gorenstein dimension n is n-Gorenstein …

… theory such as Poincaré duality for manifolds, Gorenstein … and they come in three variants
distinguished by the peculiar … We will prove this by induction on the size of the group. The …

This book is the ninth volume in a series whose goal is to furnish a careful and largely self-contained
proof of the classification theorem for the finite simple groups. Having completed …

… even in dimension 2. In Section 3, we provide a partial answer to Question 1.3 for dimension
2 (see … By combining Theorem C with a theory of Seshadri constants developed by Mustata-…