Keywords : Duo Ring


PILP-rings and fuzzy ideals

Raida D. Mahmood

AL-Rafidain Journal of Computer Sciences and Mathematics, 2009, Volume 6, Issue 2, Pages 31-37
DOI: 10.33899/csmj.2009.163794

In this paper, we study rings whose principal right ideals are left pure. Also we shall introduce the concept of a fuzzy bi-ideal in a ring, and give some properties of such fuzzy ideals. We also give a characterization of whose principal right ideal are left pure, fuzzy duo ring in terms of fuzzy deals.
 

A Note on Non – Singular Rings

Nazar H. Shuker; Anas S. Youns AL-Mashhdanny

AL-Rafidain Journal of Computer Sciences and Mathematics, 2005, Volume 2, Issue 2, Pages 21-26
DOI: 10.33899/csmj.2005.164079

In this paper several new properties of singular ideals and non- singular rings are obtained, a connection between a singular ideal and the Jacobson radical is considered , and a sufficient condition for a non- singular ring to be reduced is given.