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.

中文翻译：

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Morita上下文代数的Jordan自同构

本文的目的是完全确定Morita上下文的广义矩阵环的Jordan自同构。获得了在一般Morita上下文中\（\ mathcal {R} \）-线性映射成为Jordan同构的充要条件。此外，研究了一些条件，在这种条件下，一般森田情境的任何约旦自同构要么是自构，要么是反自同构。