Additivity of elementary maps on gamma rings

• B.L. Macedo Ferreira ^[1]
  1. [1] Federal Technological University of Parana
• Localización: Extracta mathematicae, ISSN-e 0213-8743, Vol. 34, Nº 1, 2019, págs. 61-76
• Idioma: inglés
• DOI: 10.17398/2605-5686.34.1.61
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• Resumen

  • Let M and M´ be Gamma rings, respectively. We study the additivity of surjective elementary maps of M × M´. We prove that if M contains a non-trivial γ-idempotent satisfying some conditions, then they are additive