Quasinilpotents in rings and their applications

Jian CUI

Article Details

Quasinilpotents in rings and their applications

Authors:

Jian CUI

Publisher:

TUBITAK

Journal:

Turkish Journal of Mathematics 2018 Vol.42 Issue 5, pp.2854-2862

Document Type:

Article

Publication Date:

9/2018

Document Language:

Turkish

Document ID (Org No.):

2000745806

Frequency:

Bimonthly

eISSN:

1303-6149

pISSN:

1300-0098

Abstract:

 

An element aaa of  an associative ring RRR is said to be quasinilpotent if 1−ax1−ax1-ax is  invertible for every x∈Rx∈Rx\in R with xa=axxa=axxa=ax. Nilpotents and elements  in the Jacobson radical of a ring are well-known examples of  quasinilpotents. In this paper, properties and examples of  quasinilpotents in a ring are provided, and the set of  quasinilpotents is applied to characterize rings with some certain  properties.

Article Details

Quasinilpotents in rings and their applications

Authors: Jian CUI

Publisher: TUBITAK

Journal: Turkish Journal of Mathematics 2018 Vol.42 Issue 5, pp.2854-2862

Document Type: Article

Publication Date: 9/2018

Document Language: Turkish

Document ID (Org No.): 2000745806

Frequency: Bimonthly

eISSN: 1303-6149

pISSN: 1300-0098

Issues

Authors:

Jian CUI

Publisher:

TUBITAK

Journal:

Turkish Journal of Mathematics 2018 Vol.42 Issue 5, pp.2854-2862

Document Type:

Article

Publication Date:

9/2018

Document Language:

Turkish

Document ID (Org No.):

2000745806

Frequency:

Bimonthly

eISSN:

1303-6149

pISSN:

1300-0098