Frobenius扩张下的丁投射(内射)模  

Ding Projection(Injection)Modle under Frobenius Expansion

作　　者：苗壮 赵自红 Miao Zhuang;Zhao Zihong(School of Science,Lanzhou University of Technology,Lanzhou 730050,China)

机构地区：[1]兰州理工大学理学院,甘肃兰州730050

出　　处：《甘肃科学学报》2020年第4期20-23,共4页Journal of Gansu Sciences

摘　　要：证明在任意结合环R上,若环扩张RA是Frobenius扩张,对于Frobenius扩张下的丁投射模,任意的左A-模M是丁投射的当且仅当作为左R-模时M是丁投射的,并且探讨了Frobenius扩张下模的丁投射维数的相关性质。类似地,给出了Frobenius扩张下丁内射模的相关性质。This paper proved that on an arbitrary associative ring R,if ring expansion R∈A is Frobenius expansion,for the Ding projection module under Frobenius expansion,any left A-modle M is Ding projection,and M is Ding projection only when it is left R-modle.In addition,the related properties of the Ding projection dimension of modle under Frobenius expansion were discussed.Similarly,the related properties of the Ding injection modle under Frobenius expansion were also provided.

关 键 词：Frobenius扩张 丁投射(内射)模 丁同调维数 

分 类 号：O152.7[理学—数学]