D4-δ-盖及其应用  

D4-δ-covers and their applications

作　　者：王永铎[1] 王亚婷 WANG Yong-duo;WANG Ya-ting(School of Science,Lanzhou Univ.of Tech.,Lanzhou 730050,China)

机构地区：[1]兰州理工大学理学院,甘肃兰州730050

出　　处：《兰州理工大学学报》2020年第4期154-156,共3页Journal of Lanzhou University of Technology

基　　金：国家自然科学基金(11861043)。

摘　　要：引入了D4-δ-盖的概念,即称(F,g)为模M的D4-δ-盖,若F是D4-模,g是F到M的满同态,且Ker(g)δF.研究了D4-δ-盖的性质以及它与投射δ-盖之间的联系,并用D4-δ-盖刻画了δ-完备环(半完备环,半正则环).The concept of D4-δ-covers is introduced.A pair(F,g)is called a D4-δ-cover of a module M if F is a D4-δ-module,g an epimorphism of F onto M,and Ker(g)δF.The properties of D4-δ-cover and their relations to projectiveδ-cover are studied andδ-perfect rings(semiperfect rings,semiregular rings)are characterized by using D4-δ-covers.

关 键 词：D4-δ-盖 δ-完备环 δ-半完备环 δ-半正则环 

分 类 号：O152.7[理学—数学]