Description

• Title:
  On a functional equation related to two-sided centralizers
• Creator:
  Kosi-Ulbl, Irena
• Description:
  The main aim of this manuscript is to prove the following result. Let n>2 be a fixed integer and R be a k-torsion free semiprime ring with identity, where k∈{2, n−1, n}. Let us assume that for the additive mapping T:R→R3T(xn) = T(x)xn-1 + xT(xn-2)x + xn-1T(x),  x∈R,is also fulfilled. Then T is a two-sided centralizer.
• Object availability:
  free access
• Date:
  2018.01.31
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Annales Mathematicae Silesianae; Vol 32 (2018); 227-235;
  Annales Mathematicae Silesianae; Tom 32 (2018); 227-235;
  2391-4238;
  0860-2107
• Format:
  application/pdf
• Publisher:
  University of Silesia Press
• Relation: https://journals.us.edu.pl/index.php/AMSIL/article/view/13922/10613
• Identifier: https://journals.us.edu.pl/index.php/AMSIL/article/view/13922
• Data provider:
  Czasopisma Wydawnictwa Uniwersytetu Śląskiego
• Can I use it?:
  seek permission
• Type:
  other