关于模的t-补子模  

On t-complement submodules of modules

作　　者：李煜彦[1] LI Yu-yan(Department of Mathematics,Longnan Teachers College,Longnan 742500,China)

机构地区：[1]陇南师范高等专科学校数信学院,甘肃陇南742500

出　　处：《青海师范大学学报（自然科学版）》2021年第3期19-23,共5页Journal of Qinghai Normal University(Natural Science Edition)

基　　金：甘肃省高等学校创新能力提升项目(2019B-224);甘肃省高等学校创新基金项目(2020A-277)。

摘　　要：受补子模、τ-补子模等概念的启发,提出了t-补子模的概念,讨论了t-补子模、τ-补子模和补子模之间的关系,给出了t-补子模、τ-补子模和补子模是不同概念的例子,研究了t-补子模的若干性质.进而,讨论了两个子模互为t-补的充要条件,并证明了t-补子模的传递性.Inspired by the concepts of complement submodule andτ-complement submodule,the concept of t-complement submodule is introduced.The relations among complement submodules,τ-complement submodules and t-complement submodules are discussed,examples are given to show that they are different concepts,and some properties of t-complement submodules are studied.Moreover,the necessary and sufficient conditions for two submodules to be t-complement of each other are investigated,and also the transitivity property for t-complement submodules are proved.

关 键 词：遗传挠理论 t-补子模 τ-补子模 闭子模 

分 类 号：O153.3[理学—数学]