厉立德.Jacobson-Chevalley稠密定理的一个推广[J].数学研究及应用,1981,1(2):1~6
Jacobson-Chevalley稠密定理的一个推广
A Generalization of the Jacobson-Chevalley Density Theorem
投稿时间:1980-12-13  
DOI:10.3770/j.issn:1000-341X.1981.02.001
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厉立德 浙江大学 
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      In this paper the structure of a completely primitive hemiring is studied. In the meanwhile the Jacobson-Chevalley density theorem is generalized. At first it is shown that a right R-semimodule M (R is a hemiring) is enbedded in an R-se-mimodule M, which is a group relative to addition. Next a semi-linearly independent set (over S) in a S-semimodule is defined. Let R be a S-endomorphism semiring of a left S-semimodule M. of course M is a right R-semimodule and so is M.
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