In this paper we consider a partial action α of a polycyclic by finite group G on a ring R. We
prove that if R is right noetherian, then the partial skew group ring R⋆ α G is also right …

Let R be an Iwanaga-Gorenstein ring, that is, R is left and right noetherian and both of the
modules RR and RR have finite injective dimension. It is proved that the following rings are …

The so-called Ding-Chen ring is an n-FC ring which is both left and right coherent, and has
both left and right self FP-injective dimensions at most n for some non-negative integer n. In …

Simplicity of Partial Skew Group Rings of Abelian Groups Page 1 Canad. Math. Bull. Vol. 57
(3), 2014 pp. 511–519 http://dx.doi.org/10.4153/CMB-2014-011-1 c Canadian Mathematical …

Let R be a ring with an identity element. R∈ IBN means that R m⋟ R n implies m= n, R∈
IBN 1 means that R m⋟ R n⊕ K implies m≥ n, and R∈ IBN 2 means that R m⋟ R m⊕ K …

In this paper, we investigate the properties of right orthogonal modules of CC, where CC is a
class of left R-modules. As an application, we investigate the properties of right orthogonal …

In this paper, we study Ding homological dimensions of complexes. Special attention is paid
to the dimensions of homologically bounded complexes that have nice functorial …

In this paper, we introduce the notion of “P-coherent rings” which is a generalization of the
notion of “coherent rings”. Then we establish the transfer of this notion to pullbacks, direct …

In this paper, we introduce and study the projectively coresolved Gorenstein flat dimension
of a group G over a commutative ring R and we prove that this dimension enjoys all the …

There are many homological dimensions which are closely related to ring theoretic
properties. The notion of a AB ring has been introduced by Huneke and Jorgensen. It has …