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The State Space of K 0 of Exchange Rings

โœ Scribed by Li, Qi-Sheng; Tong, Wen-Ting


Book ID
127029166
Publisher
Taylor and Francis Group
Year
2005
Tongue
English
Weight
164 KB
Volume
33
Category
Article
ISSN
0092-7872

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๐Ÿ“œ SIMILAR VOLUMES


Rank functions and state spaces of K0
โœ Lianggui Feng; Zhifeng Hao ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› SP Science China Press ๐ŸŒ English โš– 370 KB
K0 of a semilocal ring
โœ Alberto Facchini; Dolors Herbera ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 183 KB

Let R be a semilocal ring, that is, R modulo its Jacobson radical J R is artinian. Then K 0 R/J R is a partially ordered abelian group with order-unit, isomorphic to Z n โ‰ค u , where โ‰ค denotes the componentwise order on Z n and u is an order-unit in Z n โ‰ค . Moreover, the canonical projection ฯ€: R โ†’ R