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Exchange rings in which all regular elements are one-sided unit-regular

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Abstract

Let R be an exchange ring in which all regular elements are one-sided unit-regular. Then every regular element in R is the sum of an idempotent and a one-sided unit. Furthermore, we extend this result to exchange rings satisfying related comparability.

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Authors and Affiliations

  1. Hangzhou Normal University, Hangzhou, 310036, People’s Republic of China

    Huanyin Chen

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  1. Huanyin Chen
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Correspondence to Huanyin Chen.

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Chen, H. Exchange rings in which all regular elements are one-sided unit-regular. Czech Math J 58, 899–910 (2008). https://doi.org/10.1007/s10587-008-0058-z

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  • DOI: https://doi.org/10.1007/s10587-008-0058-z

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