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...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.展开更多
基金supported by the National Natural Science Foundation of China under Grant Nos.11501192,11471108,11426101Hunan Provincial Natural Science Foundation under Grant No.2015JJ2051Scientific Research Fund of Hunan Province Education Department under Grant No.15B082
文摘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.