Mathematical Journal of Okayama University 63巻 1号

2021-01 発行

Baba, Yoshitomo
Department of Mathematics Education Osaka Kyoiku University

Publication Date

2021-01

Abstract

In [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 [13] K. Oshiro called the ring a left Harada ring (abbreviated left H-ring). We can see many results on left Harada rings in [6] and many equivalent conditions in [4, Theorem B]. In this paper, to characterize two-sided Harada rings, we intruduce new concepts “co-H-sequence” and “H-epimorphism” and study them.

Keywords

Harada ring

Artinian ring

Comments

Mathematics Subject Classiﬁcation. 16P20.