GI_(ac)-内射模与GI_(ac)-平坦模的环刻画  

Ring characterizations on GI_(ac)-injective and GI_(ac)-flat modules

作　　者：陈东 CHEN Dong(College of information science and engineering,Chengdu University,Chengdu 610106,China)

机构地区：[1]成都大学信息科学与工程学院,四川成都610106

出　　处：《兰州理工大学学报》2021年第3期156-161,共6页Journal of Lanzhou University of Technology

基　　金：国家自然科学基金(1167l283);四川省教育厅基金(l8ZB0l38);四川省高校重点实验室开放基金(MSSB-2020-06)。

摘　　要：引入GI_(ac)-内射模和GI_(ac)-平坦模的概念,是介于GI-内射模(或GI-平坦模)与余纯内射模(或余纯平坦模)之间的一种模类.用上述模刻画了诸多环类,如:半单环、von Neumann正则环、遗传环和半遗传环.The concept of GI_(ac)-injective modules and GI_(ac)-flat modules,is introduced respectively,which is a class of modules between GI-injective modules(or GI-flat modules)and copure injective modules(or copure flat modules).Some classes of rings,such as semisimple rings,von Neumann regular rings,hereditary rings and semihereditary rings,are characterized in terms of these modules.

关 键 词：GI_(ac)-内射模 GI_(ac)-平坦模 半单环 von Neumann正则环 (半)遗传环 

分 类 号：O154[理学—数学]