Let R be a ring. A right R-module M is called quasi-principally(or semi-) injective if it is M-
principally inj ective. In this paper, we show:(1) The following are equivalent for a projective …

An Endomorphism Ring which is Not Ore Page 1 PROCEEDINGS OF THE AMERICAN
MATHEMATICAL SOCIETY Volume 44, Number 2, June 1974 AN ENDOMORPHISM RING …

0. It is a trivial fact that isomorphic rings have equivalent module categories, and hence, are
Morita-equivalent. The aim of this paper is to prove that for a large class of rings, of frequent …

Let ${P_R} $ be a projective module with trace ideal $ T $. An $ R $-module ${X_R} $ is $ T
$-accessible if $ XT= X.{\text {If}}{P_R} $ is finitely generated projective and $ C $ is the $ R …

Let M be a left module, over a ring R. M is called a Zelmanowitz-regular module if for each
x∊ M there exists a homomorphism f: M→ R such that f (x) x= x. Let Q be a left R-module and …

On splitting of module categories Page 1 Math. Z. t11, 145-150 (1969) On Splitting of Module
Categories HIROYUKI TACHIKAWA Let R be a ring and 9XR the category of all right …

Because F is a free module of infinite rank we see that F^ Fn all n^ l. It follows that H^ Hn as
right (or left) H-modul es. So H is isomorphic (as ring) to Hn, forali n> 1. Further every finitely …

Restricted homological properties of modules Page 1 RESTRICTED HOMOLOGICAL
PROPERTIES OF MODULES DAVID A. HILL (Received 20 May 1971; revised 13 March 1972) …

One of the fundamental problems on endomorphism rings is to find necessary and sufficient
conditions that an abstract ring be isomorphic to the endomorphism ring of a given type of …