The Rings Characterized by Minimal Left Ideals

Authors
Wei, Jun Chao
Citation
Wei, Jun Chao, The Rings Characterized by Minimal Left Ideals, Acta mathematica Sinica. English series (Print) , 21(3), 2005, pp. 473-482
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
21
Issue
3
Year of publication
2005
Pages
473 - 482
Database
ACNP
SICI code
Abstract
We study these rings with every minimal left ideal being a projective, direct summand and a p-injective module, respectively. Some characterizations of these rings are given, and the relations among them are obtained. With these rings, we characterize semisimple rings. Finally, we introduce MC2 rings, and give some characterizations of MC2 rings.