Morita系统环及其K_i群  

Morita Context Rings and Their K_i Groups

作　　者：许庆兵[1] 刘洋 张孔生 XU Qing-bing;LIU Yang;ZHANG Kongsheng(Department of Basic Courses,Chuzhou Institute of Technology,Chuzhou 2390001,China;School of Mathematics and Finance,Chuzhou University,Chuzhou 239000,China;Department of Mathematics Southeast University,Nanjin 210096,China)

机构地区：[1]滁州职业技术学院基础部,安徽滁州239000 [2]滁州学院数学与金融学院,安徽滁州239000 [3]东南大学数学学院,江苏南京210096

出　　处：《数学的实践与认识》2018年第23期233-238,共6页Mathematics in Practice and Theory

基　　金：安徽省教育厅重点项目(KJ2016A545,KJ2018A0839);安徽省自然科学基金面上项目(1808085MA14)

摘　　要：介绍了由任意Morita context构造高阶的Morita系统环的方法.讨论了Morita系统环上Grothendieck群K0与Whitehead群K1的相关问题.给出了Kerπ群的一个等价刻划.A method for constructing higher order Morita context matrix rings by any Morita context is introduced.The Grothendieck group K0 and the Whitehead group K1 of the Morita context rings are discussed.An equivalent characterization of the group Kerπ is given.

关 键 词：MORITA系统环 GROTHENDIECK群 Whitehead群 

分 类 号：O153.3[理学—数学]