The solvable conditions of linear system over commutative semirings
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This paper deals with the solution of linear system over commutative semirings. It uses the bideterminant of a matrix to investigate the solvable conditions of a system of linear equations and gives some necessary and sufficient conditions that a system of linear equations is solvable.
KeywordsBideterminant Linear system The solvable condition
The authors thank the referees for their valuable comments and suggestions. Supported by National Natural Science Foundation of China (No. 61573240), Postdoctoral Science Foundation of Jiangsu Province (No. 2018K031A) and Postdoctoral Science Foundation of China (No. 2018M642203).
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Conflict of interest
The authors declare that they have no conflict of interest.
Human and animal participants
This article does not contain any studies with human participants or animals performed by any of the authors.