… admitting a dualizing (canonical) module; for such rings two extensions of the G-dimension …
The G-dimension, short for Gorenstein dimension, of finite modules was introduced by …

… Gorenstein flat dimension to coherent rings. In this context, we enlarge the class of rings over
which the Gorenstein flat dimension … the Gorenstein flat dimension over a new class of rings …

… commutative noetherian rings; very often local Cohen–Macaulay rings with … descriptions of
the Gorenstein dimensions over arbitrary associative rings. … We have the following extension. …

… of rings theorems for the Gorenstein dimensions … Gorenstein dimensions theory, we find
an extension of the third change of rings theorem for the projective dimension to the Gorenstein …

… of Gorenstein dimensions as follows: l.Ggldim(R) ≤ maxi{l.Ggldim(Ri) + Gfd(Ri)R}. … ring
extensions are of interest. Recall that the trivial extension of a ring R by an Rmodule M is the ring …

… noetherian rings is investigated from the point of view of dualizing complexes. A concept of
finite Gorenstein dimension, which substantially weakens the notion of finite flat dimension, is …

… the properties of Gorenstein projective (injective) modules and Gorenstein homological …
extensions. Then, we show that the Gorenstein regular property of rings (ie finiteness of …

… coherent ring, a module M is of Gorenstein flat dimension n if … rings contains properly the
class of right coherent rings (see [… cover Gorenstein flat dimension arises as an extension of the …

… , its behavior with respect to subgroups, the subadditivity with respect to extensions and
the formula for the dimension of an ascending union. We also prove that if k has finite global …

… rings and to prove that the property of the finiteness of the Gorenstein dimension is inherited
by extensions of rings such as polynomial and series rings and quasi-Frobenius extensions. …