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Dergiler / Turkish Journal of Mathematics / 2019 / Cilt: 43 - Sayı: 1

When do quasinilpotents lie in the Jacobson radical?

Peng CAO
Xin WANG
Sayfa
132–142
Yayın Tarihi
2022-11-04
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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

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Amaç & Hipotez:In this paper, we give some spectral characterizations of the Jacobson radical; that is, we will show thatsome conditions with -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 withsingleton spectra.
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Temel Bulgular & Veri:In this paper, we give some spectral characterizations of the Jacobson radical; that is, we will show thatsome conditions with -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 withsingleton spectra.
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Sonuç & Katkı:In this paper, we give some spectral characterizations of the Jacobson radical; that is, we will show thatsome conditions with -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 withsingleton spectra.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

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

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Bu Makaleye Atıf Yap

CAO, P., WANG, X. (2022). When do quasinilpotents lie in the Jacobson radical?. Turkish Journal of Mathematics, Cilt: 43 - Sayı: 1, 132–142. https://ajindex.com/articles/607720

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Kaynakça (7)

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