In [7](and [8]) M. Harada studied a left artinian ring $ R $ such that every non-small left $ R $-
module contains a non-zero injective submodule. And in [12] K. Oshiro called the ring a left …

M. Harada (“Ring Theory, Proceedings of 1978 Antwerp Conference,” pp. 669–690, Dekker,
New York, 1979) studied the following two conditions:(*) Every non-small leftR-module …

In [2], M. Harada has introduced two new artinian rings which are closely related to QF-ήngs;
one is a left artinian ring whose non-small left module contains a non-zero injective …

A ring R is called a right Harada ring if it is right Artinian and every non-small right R-module
contains a non-zero injective submodule. The first result in our paper is the following: Let R …

Abstract Fuller [Fuller, KR (1969). On indecomposable injectives over artinian rings. Pacific
J. Math. 29: 115–135] has proved that a right artinian ring is a right Nakayama and right co …

A CHARACTERIZATION OF CO-HARADA RING Page 1 Asian-European Journal of
Mathematics Vol. 6, No. 2 (2013) 1350017 (7 pages) c© World Scientific Publishing Company …

On H-separable extensions of two sided simple rings Page 1 Hokkaido Mathematical
Journal Vol. 11 (1982) p. On H-separable extensions of two sided simple rings By Kozo …

M. Harada defined an almost projective module in [8] and showed that semisimple rings,
serial rings, QF-rings and H-rings are well-characterized by the property of an almost …

A $* $-ring $ R $ is called $* $-regular if every principal one-sided ideal of $ R $ is
generated by a projection. In this note, several characterizations of $* $-regular rings are …

1. The study of rings satisfying the minimum condition for principal (right) two-sided
ideals,(MHR) MHI-rings, was initiated by FA Sz:~ sz [2, 3, and 4]. These rings provoke …