STATE SPACES OF K0 GROUPS OF SOME RINGS

被引：0

作者：

Ren, J. ^{[1
]}

机构：

[1] Nanjing Inst Tourism & Hospitality, Audiovisual Ctr, Nanjing 211100, Jiangsu, Peoples R China

来源：

BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY | 2017年 / 43卷 / 07期

关键词：

State space; K-0; group; pre-ordered group; affine map; SKEW GROUP-RINGS; GROTHENDIECK GROUPS; RANKS; CATEGORIES; ALGEBRAS; MODULES;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let R be a ring with the Jacobson radical J(R) and let pi: R -> R/J(R) be the canonical map. Then pi induces an order preserving group homomorphism K-0 pi : K-0(R)-> K-0(R/J(R)) and an affine continuous map S(K-0 pi) between the state space St(R/J(R)) and the state space St(R). In this paper, we consider the natural affine map S(K-0 pi). We give a condition under which S(K-0 pi) is an affine homeomorphism. At the same time, we discuss the relationship between semilocal rings and semiperfect rings by using the affine map S(K-0 pi).

引用

页码：2507 / 2516

页数：10

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