A Class of Ring-like Objects
Rings and Algebras
2007-05-23 v2
Abstract
We introduce the notions of one-sided dirings, 3-irreducible left modules, 3-primitive left dirings, 3-semi-primitive left dirings, 3-primitive ideals and 3-radicals. The main results consists of two parts. The first part establishes two external characterizations of a 3-semi-primitive left diring. The second part characterizes the 3-radical of a left diring by using 3-primitive ideals.
Cite
@article{arxiv.math/0411586,
title = {A Class of Ring-like Objects},
author = {Keqin Liu},
journal= {arXiv preprint arXiv:math/0411586},
year = {2007}
}
Comments
20 pages