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 investigate Ding projective dimensions and Ding injective dimensions of
modules and rings. Let R be a ring with rDPD (R)= n<℞, and let W 1={M| fd (M)<℞}. We …

We define and study the notions of restricted Tor-dimension and Ext-dimension for
unbounded complexes of left modules over associative rings. We show that, for a right …

In this paper, we define and study a notion of Ding projective dimension for complexes of left
modules over associative rings. In particular, we consider the class of homologically …

We relate the homological behavior of an associative ring R and those of the rings R/x R and
R x when x is a regular central element in R. For left weak global dimensions we prove …

In this article all rings are assumed to have identity elements preserved by ring
homomorphisms, and all modules, unless otherwise stated, are left modules. For a ring Λ let …

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 …

The behavior of homological dimensions 1 Introduction Page 1 Mathematics Scientific Journal
Vol. 7, No. 1, (2011), 1-10 The behavior of homological dimensions M. Ansaria,1, E. Hosseini …

This note presents the definitions of homological dimensions of bounded complexes of
modules as proposed by the author in [3]. Somewhat different definitions have been …

Let (A, B) be a cotorsion pair in R-Mod. We define and study notions of A dimension and B
dimension of unbounded complexes, which is given by means of dg-projective resolution …