Further Results on Finitely Generated Projective Modules |
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Authors: | Tong Suo Wu |
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Institution: | (1) Department of Applied Mathematics, Shanghai Jiaotong University, Shanghai 200030, P. R. China E-mail: wutsc@online.sh.cn, CN |
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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.
Received February 2, 1999, Accepted December 9, 1999 |
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Keywords: | Exchange ring K0-groups Artinian condition |
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