Further Results on Finitely Generated Projective Modules

Author: Wu, Tong

Source: Acta Mathematica Sinica, Volume 18, Number 2, April 2002 , pp. 225-228(4)

Publisher: Springer

Buy & download fulltext article:

Price: $47.00 plus tax (Refund Policy)

Abstract:

In this paper, the exchange rings R whose primitive factor rings are artinian are studied. The following results are proved: for any exchange ring R and any two-sided ideal I of R, K ₀(π) : K ₀(R)→K ₀(R/I) is a group epimorphism with the kernel {[P]−[Q] |P = PI, Q = QI}; there is an isomorphism of ordered groups from K ₀(R) to the gorup of all such functions ƒ_P : X→Q(P∈P(R)), where X is the set of all primitive ideals of R and Q, the rational integers.

Keywords: Exchange ring, K 0-groups, Artinian condition; 16D60; 19A

Document Type: Research article

DOI: http://dx.doi.org/10.1007/s101140000078

Affiliations: 1: Email: wutsc@online.sh.cn

Publication date: 2002-04-01