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

Additivity of Multiplicative b-Generalized (Skew) Derivations

Authors : Sk Aziz, Om Prakash

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 ring and Q be the right Martindale quotient ring of R. Then we prove that a map G on R satisfies \(G(xy)=G(x)y+ b\alpha (x)d(y)\) for all \(x,y\in R\) where \(\alpha \) is an automorphism on R and d is an additive map over R, \(b \in Q\), is additive. Moreover, if a map g on R satisfying \(g(xy)=g(x)y + bxd(y)\) for all \(x,y\in R\) and d, b are mentioned above, then g is additive.

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 Weakly Generalized Reversible Rings
next chapter Specht Modules and Representations of Symmetric Group
Literature
1.
Aziz, S., Ghosh, A., Prakash, O.: Additivity of multiplicative (generalized) skew semi-derivations on rings. Georgian Math. J, Preprint (2023)CrossRef
2.
3.
4.
Ghosh, A., Prakash, O.: New results on generalized \((m, n)\)-jordan derivations over semiprime rings. Southeast Asian Bull. Math. 43(3), 323–331 (2019)MathSciNet
5.
Ghosh, A., Prakash, O.: Jordan left \({g, h}\)-derivation over some algebras. Indian J. Pure Appl. Math. 51(4), 1433–1450 (2020)MathSciNetCrossRef
6.
7.
8.
Ferreira, B.L.M.: Multiplicative maps on triangular n-matrix rings. Int. J. Math. Game Theory Algebr. 23(2), 1–14 (2014)
9.
Ferreira, B.L.M.: Jordan derivations on triangular matrix rings. Extracta Math. 30(2), 181–190 (2015)MathSciNet
10.
11.
12.
Martindale, W.S., III.: When are multiplicative mappings additive? Proc. Amer. Math. Soc. 21(3), 695–698 (1969)
13.
14.
Yadav, V.K., Sharma, R.K.: Additivity of multiplicative generalized Jordan derivations on rings. Palest. J. Math. 6(Special Issue-II), 253–258 (2017)
15.
Košan, M.T., Lee, T.K.: \(b\)-generalized derivations of semiprime rings having nilpotent values. J. Aust. Math. Soc. 96(3), 326–337 (2014)MathSciNetCrossRef
16.
Metadata
Title
Additivity of Multiplicative b-Generalized (Skew) Derivations
Authors
Sk Aziz
Om Prakash
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_3

Premium Partner

    Image Credits