Some Studies on Π-Coherent Rings Page 1 PROCEEDINGS OF THE AMERICAN
MATHEMATICAL SOCIETY Volume 119, Number 1, September 1993 SOME STUDIES ON If-COHERENT …

R is called a right ${\Pi}-coherent $ ring in case every finitely generated torsion less right R-
module is finitely presented. In this paper, we define a dimension for rings, called ${\Pi} …

We introduce the concepts of (n, d)-injective and (n, d)-flat as generalizations of injective, flat
modules and homological dimensions, and use them to characterize right n-coherent rings …

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 article, we provide several descriptions of w-coherent rings in terms of modules. We
show that a ring R is w-coherent if and only if every direct product of flat modules is w-flat. To …

Let R be a commutative ring with 1 ≠ 0 1≠ 0 and let H={R| R\; is\; a\; commutative\; ring\;
and\; Nil (R)\; is\; a\; divided\; prime ideal\; of\; R\} H= R| R isacommutativeringand N il (R) …

Abstract In (n, d)-ring and n-coherent ring theory, n-presented modules plays an important
role. In this paper, we firstly give some new characterizations of n-presented modules and n …

ON N-COHERENT RINGS, N-HEREDITARY RINGS AND N-REGULAR RINGS Page 1 Archive
of SID Bulletin of the Iranian Mathematical Society Vol. 37 No. 4 (2011), pp 251-267. ON …

Let R be a ring and β× α (R)(ℝ β× α (R)) the set of all β× α full (row finite) matrices over
R where α and β≥ 1 are two cardinal numbers. A left R-module M is said to be “injective …

Let R be a ring. Recall that a left R-module M is coherent if every finitely generated
submodule of M is finitely presented. R is a left coherent ring if the left R-module RR is …