Dedekind's linear independence theorem over commutative semirings

作者：Tan, Yi-Jia^*

来源：Linear and Multilinear Algebra, 2018, 66(1): 107-116.

DOI：10.1080/03081087.2017.1287158

• Dedekind's theorem
• linear independence
• homomorphism
• derivation
• semiring

In this paper, Dedekind's theorem on the linear independence of homomorphisms of commutative semirings is studied. Furthermore, this theorem is extended to the case of linear independence of compositions of homomorphisms and powers of a derivation. The results obtained in this paper generalize and develop previous results for fields.

• 出版日期2018
• 单位福州大学