This monograph first published in 1986 is a reasonably self-contained account of a large
part of the theory of non-commutative Noetherian rings. The author focuses on two important …

In proving the Principal Ideal Theorem, W. Krull [u] made essential use of the fact that in a
commutative Noetherian ring R, For each P-primary ideal Q there is a maximal chain of P …

Using the concept of prime submodule introduced by Raggi et. al. we extend the notion of
reduced rank to the module-theoretic context. We study the quotient category of $\sigma [M] …

A ring R is right FPF if eacn finitely generated faithful right R module is a generator of MOP-
R, the category of right R modules. Dedekind domains are FPF as well as quasi-Frobenius …

For a prime ideal P of a Noetherian ring R, Goldic defined in 17, 81 a localization Q of R at P.
This localization is constructed as a subring of the inverse limit of the rings Q,,(R/P'“'), where …

Let IRM [denote the Krull dimension of a left R-module M. A ring R with left and right Krull
dimension is called Krull symmetric provided IRS/TI=[S/TRI for any pair of two-sided ideals …

The concept of reduced rank has been a useful tool in studying Noetherian rings, orders in
Artinian rings, and rings with Krull dimension. These classes of rings have been …

The ring R is right FPF if each faithful, finitely generated right R-module is a generator of
MOD-RC Faith has conjectured that a two sided FPF ring has a self-injective classical ring of …

2 MAURICIO MEDINA-BÁRCENAS of M for all ϕ: M→ N. Then we can define a class of
modules R (M)={N| M is N-Rickart} and study the closure properties of this class. I want to …

Bijective correspondences are established between endofinite injective left modules,
endofinite flat right modules, finite collections of minimal noetherian prime ideals …