n-强Gorenstein FP-内射模  

n-Strongly Gorenstein FP-injective modules

作　　者：高增辉[1] 

机构地区：[1]成都信息工程学院应用数学学院,成都610225

出　　处：《中国科学：数学》2013年第10期1037-1046,共10页Scientia Sinica：Mathematica

基　　金：国家自然科学基金(批准号:11171240和11301042);国家自然科学数学天元基金(批准号:11226057)资助项目

摘　　要：设n是正整数,本文引入并研究n-强Gorenstein FP-内射模.对于正整数n>m,给出例子说明n-强Gorenstein FP-内射模未必是m-强Gorenstein FP-内射的,并讨论n-强Gorenstein FP-内射模的诸多性质.最后,利用n-强Gorenstein FP-内射模刻画n-强Gorenstein Von Neumann正则环.For any positive integer n, we introduce and study n-strongly Gorenstein FP-injectlve moctmes. Some examples are given to show that n-strongly Gorenstein FP-injective modules need not be m-strongly Gorenstein FP-injective modules whenever n 〉 m. Many properties of n-strongly Gorenstein FP-injective modules are discussed, some known results are obtained as corollaries. Finally, we characterize n-strongly Gorenstein Von Neumann regular rings in terms of n-strongly Gorenstein FP-injective modules.

关 键 词：n-强Gorenstein FP-内射模 n-强Gorenstein平坦模 凝聚环 n-强Gorenstein Von Neumann 正则环 

分 类 号：O153.3[理学—数学]