Demonstratio Mathematica (May 2020)

Jordan centralizer maps on trivial extension algebras

  • Bahmani Mohammad Ali,
  • Ghomanjani Fateme,
  • Shateyi Stanford

DOI
https://doi.org/10.1515/dema-2020-0007
Journal volume & issue
Vol. 53, no. 1
pp. 58 – 66

Abstract

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The structure of Jordan centralizer maps is investigated on trivial extension algebras. One may obtain some conditions under which a Jordan centralizer map on a trivial extension algebra is a centralizer map. As an application, we characterize the Jordan centralizer map on a triangular algebra.

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