Generalized inverses of centralizers of semiprime rings

• Autores: Muhammad Anwar Chaudhry, Mohammed Salem Samman
• Localización: Aequationes mathematicae, ISSN 0001-9054, Vol. 71, Nº. 3, 2006, págs. 246-252
• Idioma: inglés
• DOI: 10.1007/s00010-006-2822-1
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• Resumen

  • In this paper we establish necessary and sufficient conditions for a centralizer of a semiprime ring R to be orthogonal. We also prove that a centralizer T of a semiprime ring R has a commuting generalized inverse if and only if it is orthogonal.