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Generalized inverses of centralizers of semiprime rings

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Summary.

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.

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Authors and Affiliations

  1. Department of Mathematical Sciences, King Fahd University of Petroleum and Minerals, Dhahran, 31261, Saudi Arabia

    Muhammad Anwar Chaudhry & Mohammed Salem Samman

Authors
  1. Muhammad Anwar Chaudhry
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  2. Mohammed Salem Samman
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Correspondence to Muhammad Anwar Chaudhry.

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Manuscript received: June 7, 2004 and, in final form, April 6, 2005.

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Chaudhry, M.A., Samman, M.S. Generalized inverses of centralizers of semiprime rings. Aequ. math. 71, 246–252 (2006). https://doi.org/10.1007/s00010-006-2822-1

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  • DOI: https://doi.org/10.1007/s00010-006-2822-1

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