On two questions of Nicholson

Home Page
About
Submit A Journal
Submit A Conference
Submit Paper/Book
- Submit a Preprint
- Submit a Book
Contact

International Electronic Journal of Algebra
Volume:31 Issue:31
On two questions of Nicholson

On two questions of Nicholson

Pages : 90-99

View : 14 | Download : 4

Publication Date : 2022-01-17

Article Type : Research Paper

Abstract :We show that a ring $R$ has stable range one if and only if every left unit lifts modulo every left principal ideal. We also show that a left quasi-morphic ring has stable range one if and only if it is left uniquely generated. Thus we answer in the affirmative the two questions raised by W. K. Nicholson.
Keywords : Directly finite ring, stable range one, left quasi morphic ring

ORIGINAL ARTICLE URL

VIEW PAPER (PDF)

* There may have been changes in the journal, article,conference, book, preprint etc. informations. Therefore, it would be appropriate to follow the information on the official page of the source. The information here is shared for informational purposes. IAD is not responsible for incorrect or missing information.