Description

• Title:
  A note on multiplicative (generalized) (α,β)-derivations in prime rings
• Creator:
  ur Rehman, Nadeem;
  Al-omary, Radwan M.;
  Muthana, Najat Mohammed
• Description:
  Let R be a prime ring with center Z(R). A map G:R→R is called a multiplicative (generalized) (α,β)-derivation if G(xy) = G(x)α(y)+β(x)g(y) is fulfilled for all x,y∈R, where g:R→R is any map (not necessarily derivation) and α,β:R→R are automorphisms. Suppose that G and H are two multiplicative (generalized) (α,β)-derivations associated with the mappings g and h, respectively, on R and α,β are automorphisms of R. The main objective of the present paper is to investigate the following algebraic identities: (i) G(xy) + α(xy) = 0, (ii) G(xy) + α(yx) = 0, (iii) G(xy) + G(x)G(y) = 0, (iv) G(xy) = α(y) ◦ H(x) and (v) G(xy) = [α(y),H(x)] for all x,y in an appropriate subset of R.
• Object availability:
  free access
• Date:
  2019.06.13
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Annales Mathematicae Silesianae; Vol. 33 (2019); 266-275;
  Annales Mathematicae Silesianae; Tom 33 (2019); 266-275;
  2391-4238;
  0860-2107
• Format:
  application/pdf
• Publisher:
  University of Silesia Press
• Relation: https://journals.us.edu.pl/index.php/AMSIL/article/view/13671/10463
• Subject:
  prime ring;
  multiplicative (generalized)(α,β)-derivation;
  left ideal
• Identifier: https://journals.us.edu.pl/index.php/AMSIL/article/view/13671
• Data provider:
  Czasopisma Wydawnictwa Uniwersytetu Śląskiego
• Can I use it?:
  seek permission
• Type:
  other