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THE STRUCTURE OF AN ABELIAN GROUP WHOSE ENDOMORPHISM RING IS A SOLVABLE LIE RING

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Abstract

This paper finds the structure of an Abelian group with maximal or minimal condition when its endomorphism ring is a solvable Lie ring.

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Acknowledgements

We thank the referee for helpful comments.

Funding

The work of Heguo Liu was supported by the National Natural Science Foundation of China No.12171142.

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Authors and Affiliations

  1. School of Mathematics and Statistics, Hubei University, Wuhan, Hubei, 430062, People’s Republic of China

    Chunbo Zhou

  2. School of Science, Hainan University, Haikou, Hainan, 570228, People’s Republic of China

    Heguo Liu

Authors
  1. Chunbo Zhou
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  2. Heguo Liu
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Correspondence to Chunbo Zhou.

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No conflict of interest exits in the submission of this manuscript, and manuscript is approved by all authors for publication. I would like to declare on behalf of my co-authors that the work described is an original research that has not been published previously, and not under consideration for publication elsewhere, in whole or in part.

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Zhou, C., Liu, H. THE STRUCTURE OF AN ABELIAN GROUP WHOSE ENDOMORPHISM RING IS A SOLVABLE LIE RING. J Math Sci 271, 583–593 (2023). https://doi.org/10.1007/s10958-023-06641-5

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  • DOI: https://doi.org/10.1007/s10958-023-06641-5

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