JSSC
Journal of Systems Science and Complexity ›› 2017, Vol. 30 ›› Issue (2): 510-518.DOI: 10.1007/s11424-017-6027-6

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The Generalized Serre Problem over K-Hermite Rings

LIU Jinwang1 , LI Dongmei2   

  1. 1.College of Mathematics and Computations, Hunan University of Science and Technology, Xiangtan 411201,China.;2.College of Mathematics and Computations, Hunan University of Science and Technology, Xiangtan 411201,China; State Key Laboratory of Information Security, Institute of Information Engineering, Chinese Academyof Sciences, Beijing 100093, China.
  • Online:2017-04-25 Published:2017-03-24
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LIU Jinwang,LI Dongmei. The Generalized Serre Problem over K-Hermite Rings[J]. Journal of Systems Science and Complexity, 2017, 30(2): 510-518.

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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