The Torsion-Freeness of Partially Ordered K0-Groups for a Class of Exchange Rings  

作　　者：WU Kuo Hua LV Xin Min 

机构地区：[1]Faculty of Science, Jiangxi University of Science and Technology, Jiangxi 341000, China

出　　处：《Journal of Mathematical Research and Exposition》2009年第2期367-370,共4页数学研究与评论（英文版）

基　　金：the National Natural Science Foundation of China （No. 10571080）; the Natural Science Foundation of Jiangxi Province （No. 0611042）; the Science and Technology Projiet Foundation of Jiangxi Province （No. G[20061194） and the Doctor Foundation of Jiangxi University of Science and Technology.

摘　　要：A ring R is called orthogonal if for any two idempotents e and f in R, the condition that e and f are orthogonal in R implies the condition that [eR] and [fR] are orthogonal in K0(R)+, i.e., [eR]∧[fR] = 0. In this paper, we shall prove that the K0-group of every orthogonal, IBN2 exchange ring is always torsion-free, which generalizes the main result in [3].A ring R is called orthogonal if for any two idempotents e and f in R, the condition that e and f are orthogonal in R implies the condition that [eR] and [fR] are orthogonal in K0（R）^＋, i.e., [eR]∧[fR] = 0. In this paper, we shall prove that the K0-group of every orthogonal, IBN2 exchange ring is always torsion-free, which generalizes the main result in [3].

关 键 词：IBN2 ring Orthogonal ring Ko-group Partially ordered Abelian group l-group. 

分 类 号：O153.3[理学—数学]