When do quasinilpotents lie in the Jacobson radical?

Peng CAO; Xin WANG

Article Details

When do quasinilpotents lie in the Jacobson radical?

Authors:

Peng CAO | Xin WANG

Publisher:

TUBITAK

Journal:

Turkish Journal of Mathematics 2019 Vol.43 Issue 1, pp.132-142

Document Type:

Article

Publication Date:

1/2019

Document Language:

Turkish

Document ID (Org No.):

2000745678

Frequency:

Bimonthly

eISSN:

1303-6149

pISSN:

1300-0098

Abstract:

 

In this paper, we give some spectral characterizations of the Jacobson radical; that is, we will show that some conditions with λλ\lambda-multiplicativity imply that the set of all quasinilpotent elements equals the Jacobson radical. We also give some conditions to make sure the quasinilpotents lie in the Jacobson radical, using the set of elements with singleton spectra.

Article Details

When do quasinilpotents lie in the Jacobson radical?

Authors: Peng CAO | Xin WANG

Publisher: TUBITAK

Journal: Turkish Journal of Mathematics 2019 Vol.43 Issue 1, pp.132-142

Document Type: Article

Publication Date: 1/2019

Document Language: Turkish

Document ID (Org No.): 2000745678

Frequency: Bimonthly

eISSN: 1303-6149

pISSN: 1300-0098

Issues

Authors:

Peng CAO | Xin WANG

Publisher:

TUBITAK

Journal:

Turkish Journal of Mathematics 2019 Vol.43 Issue 1, pp.132-142

Document Type:

Article

Publication Date:

1/2019

Document Language:

Turkish

Document ID (Org No.):

2000745678

Frequency:

Bimonthly

eISSN:

1303-6149

pISSN:

1300-0098