Skip to main content
Disciplines
Automotive Business IT + Informatics Construction + Real Estate Electrical Engineering + Electronics Energy + Sustainability Insurance + Risk Finance + Banking Management + Leadership Marketing + Sales Mechanical Engineering + Materials
DE
EN
Books
Journals
Events
Topic Page
Marketing
Log in
Learn more about individual access
Request company access
Electric Powertrains and Energy Systems 2025 | 26 + 27 March 2025

19th International MTZ Congress on Future Powertrains

Take this opportunity to attend the conference. Experts from the automotive industry, energy providers, and grid operators will meet up with representatives from politics and science to discuss important topics for this sector.
EXTENDED SEARCH
Log in
Top
Published in:
Read chapter Read first chapter

2024 | OriginalPaper | Chapter

Generalized Skew Derivations with Periodic Values on Lie Ideals

Author : Milena Andaloro

Published in: Advances in Ring Theory and Applications

Publisher: Springer Nature Switzerland

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

Let R be a prime non commutative ring, L a noncentral Lie ideal of R, \(\alpha \) an automorphism of R, \(G: R\longrightarrow R\) a non-zero generalized skew derivation of R, \(m,n\ge 2\) fixed positive integers, such that
$$\begin{aligned}\biggl (G(u)^n-G(u)\biggr )^m=0,\,\,\,\text { for all }u\in L.\end{aligned}$$
If \(char(R)=0\) or \(char(R)=p>0\) where \(p \not \mid 2^{n}-2\), then \(R\subseteq M_2(C)\), the ring of \(2\times 2\) matrices over the extended centroid C.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

inform now
previous chapter On a Functional Identity Involving Power Values of Generalized Skew Derivations on Lie Ideals
next chapter Generalized Skew-Derivations Acting on Multilinear Polynomials in Prime Rings
Literature
1.
2.
Chang, J.-C.: Generalized skew derivations with annihilating Engel conditions. Taiwanese J. Math. 12, 1641–1650 (2008)MathSciNetCrossRef
3.
Chuang, C.-L.: Differential identities with automorphisms and antiautomorphisms I. J. Algebra 149, 371–404 (1992)MathSciNetCrossRef
4.
Chuang, C.-L.: Differential identities with automorphisms and antiautomorphisms II. J. Algebra 160, 130–171 (1993)MathSciNetCrossRef
5.
Chuang, C.-L., Chou, M.-C., Liu, C.-K.: Skew derivations with annihilating Engel conditions. Publ. Math. Debrecen 68(1–2), 161–170 (2006)MathSciNetCrossRef
6.
7.
8.
Herstein, I.N.: Topics in Ring Theory. The University of Chicago Press (1969)
9.
10.
Herstein, I.N.: Topics in Ring Theory. The University of Chicago Press (1969)
11.
Jacobson, N.: Structure of Rings. Amer. Math. Soc, Providence, RI (1964)
12.
Lam, T.Y.: A First Course in Noncommutative Rings. University of California, Springer-Verlag (1990)
13.
Jer-Shyong, L.: Derivations of prime rings having periodic values. Chinese J. Math. 14(2), 95–102 (1986)MathSciNet
14.
15.
Metadata
Title
Generalized Skew Derivations with Periodic Values on Lie Ideals
Author
Milena Andaloro
Copyright Year
2024
Book
Advances in Ring Theory and Applications

Print ISBN: 978-3-031-50794-6

Electronic ISBN: 978-3-031-50795-3

Copyright Year: 2024

DOI
https://doi.org/10.1007/978-3-031-50795-3_19

Premium Partner

    Image Credits