… , the twisted group ring A still has global dimension n and is a … center of A, whence the ring
homomorphism S ! A only endows … Similarly, QG Š Qs A and we have ring homomorphisms Q ! …

… , Krull dimension, etc.) of the ring R with respect to σ. Before reviewing Jara’s Nagata rings,
we … Moreover, flat modules and reflexive modules are both w-closed modules. In the integral …

… of totally reflexive modules, which are also called modules of Gorenstein dimension zero
or … bounds of (finitistic) XB-resolution dimension of B in terms of the (finitistic) XA-resolution …

… We now assume that the ring R is local and Cohen-Macaulay of dimension d. … } \) are zero
for all i > δ − 2, are reflexive for all i, and their module structure is completely determined by the …

… Lemma 4.12 Let R be a commutative noetherian ring of finite Krull dimension. Let R → S be
a faithfully flat ring homomorphism. Then for any cohomologically bounded R-complex M, we …

… This definition may be summarized by the diagram of local ring homomorphisms … ring has
finite G-dimension. Thus, a finitely generated module over a Gorenstein ring is totally reflexive …

… there is a ring homomorphism R −→ Λ … reflexive, but not necessarily symmetric. It also
fails to be transitive, and the classical Harada-Sai lemma for finite modules over finitedimensional …

… Let V be a finite-dimensional vector space of dimension n, then we denote by: … P(V ), iC is
the embedding of C to S and F is a reflexive rank one sheaf of degree zero at C. The morphism …

… if F is a finite SVd /-module of length n, supported by a finite thickening of x … Since F is
supported by a finite thickening of x 2 Ad it has the structure of … Over Xz we have a homomorphism …

… reflexive modules, thus the study of minimax modules is as important as the study of Matlis
reflexive … (ii) If ϕ is a faithfully flat ring homomorphism, then N is a minimax R-module if and …