交换半环上半线性空间同态的核  

On Kernel of Homomorphisms in Semilinear Spaces over Commutative Semirings

作　　者：李骏 张兴均 LI Jun;ZHANG Xingjun(School of Mathematics,Sichuan University of Arts and Science,Dazhou Sichuan 635000,China)

机构地区：[1]四川文理学院数学学院,四川达州635000

出　　处：《乐山师范学院学报》2023年第8期5-9,共5页Journal of Leshan Normal University

基　　金：四川文理学院科研资助项目“交换半环上代数结构的相关研究”(2017KZ011Y);四川文理学院科研启动基金资助预立项“交换半环上半线性空间理论研究”。

摘　　要：对交换半环上半线性空间之间的同态映射进行了讨论,通过同态映射关系确定了一类半线性空间的子空间,扩展经典代数中同态映射的核的概念,讨论两类核之间的关系,并给出交换半环上半线性空间的同构定理。The homomorphisms between semilinear spaces over commutative semirings was discussed,and a class of subspaces in semilinear spaces was determined through the homomorphic relations.The concept of kernels for homomorphisms in classical algebra was extended,and the relation between two kinds of kernels was discussed.At last,the isomorphism theorem in semilinear spaces over commutative semirings was given.

关 键 词：半环 半线性空间 同态 子空间 核 

分 类 号：O153[理学—数学]