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Jordan Automorphism of Morita Context Algebras

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Abstract

The aim of this article is to determine entirely the Jordan automorphisms of generalized matrix rings of Morita contexts. Necessary and sufficient conditions are obtained for an \(\mathcal {R}\)-linear map on a general Morita context to be a Jordan homomorphism. Moreover, some conditions are studied, under which, any Jordan automorphism of a general Morita context is either an automorphism or an anti-automorphism.

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Authors and Affiliations

  1. Department of Pure Mathematics, Faculty of Mathematical Sciences, Tarbiat Modares University, P.O.Box:14115-134, Tehran, Iran

    Ahmad Moussavi & Rasul Mohammadi

  2. Department of Mathematics, Faculty of Science, Higher Education Center of Eghlid, Eghlid, Iran

    Masoome Zahiri

Authors
  1. Ahmad Moussavi
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  2. Masoome Zahiri
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  3. Rasul Mohammadi
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Correspondence to Masoome Zahiri.

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Communicated by Shiping Liu.

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Moussavi, A., Zahiri, M. & Mohammadi, R. Jordan Automorphism of Morita Context Algebras. Bull. Malays. Math. Sci. Soc. 44, 1079–1092 (2021). https://doi.org/10.1007/s40840-020-00979-8

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  • DOI: https://doi.org/10.1007/s40840-020-00979-8

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