1) R satisfifies (\#) . Page 1 Hokkaido Mathematical Journal Vol. 13 (1984) p. Lifting modules,
extending modules and their applications to QF-rings By Kiyoichi OSHIRO (Received June 21 …

In this paper we investigate the following problem: is a ring R right self FP-injective if it has
the property that it is pure, as a right R-module, in every ring extension? The answer is …

A ring R is called right FP-injective if every R-homomor-phism from a finitely generated
submodule of a free right R-module F into R extends to F. In this paper a ring R will be called …

The purpose of this note is to point out an interesting connection between the structure of a
commutative, Noetherian ring of prime characteristic as a (left) module over its ring of …

Abstract The Asano-Michler theorem states that a 2-sided order R in a simple Artinian ring O
is hereditary provided that R satisfies the three requirements:(AM1) Noetherian;(AM2) …

Note that FGF is HOGF, and GF is cGF for every cardinal. In her thesis [73a], Jain connected
right IF rings with FGF rings, and we give a brief account of these theorems in Section 4 …

Let R be a ring with 1# 0. R-Mod (resp. Mod-R} denotes the category of left (resp. rrght) R-
modules. Throughout the entrre article full subcategories of R-Mod (resp. Mod-R) will be …

A comprehensive introduction to the homological and structural methods of ring theory and
related topics, this book includes original results as well as the most recent work in the field …

Textbook writing must be one of the cruelest of self-inflicted tortures.-Carl Faith Math
Reviews 54: 5281 So why didn't I heed the warning of a wise colleague, especially one who …

The theory of Loewy modules has occurred in many different contexts in the literature. W.
Krull used the notion of a Loewy module in some of bis studies ([7] and [8]) of ideal theory in …