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Cancellation of Morita and skew types

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Abstract

We study both Morita cancellative and skew cancellative properties of noncommutative algebras as initiated recently in several papers and explore which classes of noncommutative algebras are Morita cancellative (respectively, skew cancellative). Several new results concerning these two types of cancellations, as well as the classical cancellation, are proved.

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Acknowledgments

The authors thank the referee for his/her very careful reading and valuable comments. X. Tang and X.-G. Zhao would like to thank J. J. Zhang and the Department of Mathematics at University of Washington for the hospitality during their visits. J. J. Zhang was partially supported by the US National Science Foundation (No. DMS-1700825 and DMS-2001015). X.-G. Zhao was partially supported by the Characteristic Innovation Project of Guangdong Provincial Department of Education (2020KTSCX145), the Science and Technology Program of Huizhou City (2017C0404020), and the National Science Foundation of Huizhou University (hzu202001, hzu201804).

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Authors and Affiliations

  1. Department of Mathematics & Computer Science, Fayetteville State University, Fayetteville, NC, 28301, USA

    Xin Tang

  2. Department of Mathematics, University of Washington, Box 354350, Seattle, Washington, 98195, USA

    James J. Zhang

  3. Department of Mathematics, Huizhou University, Huizhou, Guangdong, 516007, China

    Xiangui Zhao

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  1. Xin Tang
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Correspondence to Xin Tang.

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Tang, X., Zhang, J.J. & Zhao, X. Cancellation of Morita and skew types. Isr. J. Math. 244, 467–500 (2021). https://doi.org/10.1007/s11856-021-2199-9

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  • DOI: https://doi.org/10.1007/s11856-021-2199-9

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