置换环的Pierce群  

Pierce Groups of Exchange Rings

作　　者：陈焕艮[1] 

机构地区：[1]杭州师范大学数学系,杭州310036

出　　处：《数学年刊（A辑）》2009年第3期391-400,共10页Chinese Annals of Mathematics

摘　　要：环R的理想P称为Pierce理想,如果R/P是R的Pierce茎。令Pier(R)={P|P是R的Pierce理想}。可证Pier(R)是拓扑空间.若R是幂等元中心的置换环,则K_0(R)≌{f:Pier(R)→Z|f是连续的}。An ideal P of a ring R is said to be a Pierce ideal provided that R/P is a Fierce stalk of R. Let Pier（R） = {P｜P is a Pierce ideal of R}. It is shown that Pier（R） is a topological space. If R is an exchange ring with all idempotents central, K0（R）≌{f： Pier（R）→Z｜f is continuous} is proved.

关 键 词：Pierce理想 K0群 置换环 

分 类 号：O153.3[理学—数学]