When do quasinilpotents lie in the Jacobson radical? | Zendy

Peng Cao | Zendy; Xin Wang | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

When do quasinilpotents lie in the Jacobson radical?

Author(s) -

Peng Cao,

Xin Wang

Publication year - 2019

Publication title -

turkish journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.454

H-Index - 27

eISSN - 1303-6149

pISSN - 1300-0098

DOI - 10.3906/mat-1710-45

Subject(s) - jacobson radical , mathematics , singleton , set (abstract data type) , lambda , pure mathematics , chemistry , ring (chemistry) , computer science , physics , quantum mechanics , pregnancy , organic chemistry , biology , genetics , programming language

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

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research