In this paper, we investigate the weak Gorenstein global dimension. We are mainly
interested in studying the problem when the left and right weak Gorenstein global …

In this note we characterize the (resp., weak) Gorenstein global dimension for an arbitrary
ring. Also, we extend the well-known Hilbert's syzygy Theorem to the weak Gorenstein …

In this note, we characterize the (weak) Gorenstein global dimension for arbitrary associative
rings. Also, we extend the well-known Hilbert's syzygy Theorem to the weak Gorenstein …

It is well-known that the weak global dimension of a ring does not exceed its global
dimension. Christensen et al. obtained a corresponding result in Gorenstein setting for …

The theory of Gorenstein flat dimension is not complete since it is not yet known whether the
category 𝒢ℱ (R) of Gorenstein flat modules over a ring R is projectively resolving or not …

In this paper, we prove that the global Gorenstein projective dimension of a ring $ R $ is
equal to the global Gorenstein injective dimension of $ R $ and that the global Gorenstein …

We study the Gorenstein weak global dimension of associative rings and its relation to the
Gorenstein global dimension. In particular, we prove the conjecture that the Gorenstein …

Unlike the Gorenstein projective and injective dimensions, the majority of results on the
Gorenstein flat dimension have been established only over Noetherian (or coherent) rings …

In this paper, we extend the well-known Hilbert's syzygy theorem to the Gorenstein
homological dimensions of rings. Also, we study the Gorenstein homological dimensions of …

The study of global dimension of pullback rings has been subject of several interesting
works and has been served to solve many open problems. In this paper, we attempt to …