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Ideals in Morita Rings and Morita Semigroups

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Abstract

We characterize the lattice of all ideals of a Morita ring (semigroup) when the corresponding pair of rings (semigroups) in the Morita context are Morita equivalent s–unital (like–unity) rings (semigroups).

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Authors and Affiliations

  1. Department of Mathematics, South China Normal University, Guangzhou 510631, P. R. China

    Yu Qun Chen

  2. Department of Mathematics, Wuhan University, Wuhan 430072, P. R. China

    Yun Fan

  3. Department of Applied Mathematics, South China University of Technolog, Guangzhou 510641, P. R. China

    Zhi Feng Hao

Authors
  1. Yu Qun Chen
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  2. Yun Fan
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  3. Zhi Feng Hao
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Corresponding author

Correspondence to Yu Qun Chen.

Additional information

The research is supported by the National Natural Science Foundation of China (Grant No. 19971028) and the Natural Science Foundation of Guangdong Province (Grant No. 000463, 021073 and z02017)

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Chen, Y.Q., Fan, Y. & Hao, Z.F. Ideals in Morita Rings and Morita Semigroups. Acta Math Sinica 21, 893–898 (2005). https://doi.org/10.1007/s10114-004-0427-y

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  • DOI: https://doi.org/10.1007/s10114-004-0427-y

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