Let R be a commutative ring with nonzero identity and Γ (or sometimes G) a commutative
monoid. The concept of coherent rings is one of the most significant notions in homological …

Let α={α g: R g− 1→ R g} g∈ mor (G) be a partial action of a groupoid G on a (not
necessarily associative) ring R and let S= R⋆ α G be the associated partial skew groupoid …

Let R be a ring with identity, and G a group. For a given group homomorphism s from G to
Aut (R), the group of automorphisms of the ring R, the skew group ring Rs G is defined to be …

Given a partial action α of a connected groupoid 𝒢 on an associative ring A we investigate
under what conditions the partial skew groupoid ring A⋆ α 𝒢 can be realized as a partial …

In this paper we mainly study the homological properties of dual modules over k-Gorenstein
rings. For a right quasi k-Gorenstein ring Λ, we show that the right self-injective dimension of …

The classical global and weak dimensions of rings play an important role in the theory of
rings and have a great impact on homological and commutative algebra. In this paper, we …

Projectively coresolved Gorenstein flat modules were introduced by Saroch and Stovicek
and were shown to be Gorenstein projective. We give characterizations of Gorenstein …

PURELY INFINITE SIMPLE SKEW GROUP RINGS Introduction In 1981, Cuntz [4] introduced
the concept of a purely infinite simple C*-al Page 1 PURELY INFINITE SIMPLE SKEW …

Given a group G acting on a ring R via α: G→ Aut (R), one can construct the skew group ring
R* αG. Skew group rings have been studied in depth, but necessary and sufficient …

Let K be a field and let G be a group. In the study of group ring K [G], there is the well-known
Serre's theorem which consider the finiteness of global dimension of group ring. In the …