When do quasinilpotents lie in the Jacobson radical?

Authors

PENG CAO
XIN WANG

DOI

10.3906/mat-1710-45

Abstract

In this paper, we give some spectral characterizations of the Jacobson radical; that is, we will show that some conditions with $\lambda$-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.

Keywords

Jacobson radical, quasinilpotent elements, elements with singleton spectra

First Page

132

Last Page

142

Recommended Citation

CAO, PENG and WANG, XIN (2019) "When do quasinilpotents lie in the Jacobson radical?," Turkish Journal of Mathematics: Vol. 43: No. 1, Article 11. https://doi.org/10.3906/mat-1710-45
Available at: https://journals.tubitak.gov.tr/math/vol43/iss1/11