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The generalized Serre problem over K-Hermite rings

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Abstract

This paper investigates the completion and the zero prime factorization for matrices over a K-Hermite ring. The authors have generalized Kaplansky’s related results, solved similar Lin-Bose problem and generalized Serre problem over a K-Hermite ring.

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Author information

Authors and Affiliations

  1. College of Mathematics and Computations, Hunan University of Science and Technology, Xiangtan, 411201, China

    Jinwang Liu & Dongmei Li

  2. State Key Laboratory of Information Security, Institute of Information Engineering, Chinese Academy of Sciences, Beijing, 100093, China

    Dongmei Li

Authors
  1. Jinwang Liu
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  2. Dongmei Li
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Corresponding author

Correspondence to Dongmei Li.

Additional information

This paper was supported by the National Natural Science Foundation of China under Grant Nos. 11501192, 11471108, 11426101, and Hunan Provincial Natural Science Foundation under Grant No. 2015JJ2051, and Scientific Research Fund of Hunan Province Education Department under Grant No. 15B082.

This paper was recommended for publication by Editor-in-Chief GAO Xiao-Shan.

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Liu, J., Li, D. The generalized Serre problem over K-Hermite rings. J Syst Sci Complex 30, 510–518 (2017). https://doi.org/10.1007/s11424-017-6027-6

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  • DOI: https://doi.org/10.1007/s11424-017-6027-6

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