Geodesic
K 0 D’Un Anneau Dont Les Localises Centraux Sont Simples Artiniens
Canadian mathematical bulletin, Tome 25 (1982) no. 3, pp. 344-347

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The purpose of the note is to calculate the group K 0(A) where A is a ring all of whose Pierce stalks are simple artinian. This generalizes known results for A self injective of type I n. For A regular, with injective hull, Â, of type I n, a characterization is given for when A → Â it induces an isomorphism K 0(A) → K 0(Â).
DOI : 10.4153/CMB-1982-048-0
Mots-clés : 16A30, 16A54 
Burgess, W. D.; Goursaud, J.-M. K 0 D’Un Anneau Dont Les Localises Centraux Sont Simples Artiniens. Canadian mathematical bulletin, Tome 25 (1982) no. 3, pp. 344-347. doi: 10.4153/CMB-1982-048-0
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[1] 1. Burgess, W. D. et Stephenson, W., Pierce sheaves of non-commutative rings. Comm. Algebra, 4 (1976), 51-75. Google Scholar

[2] 2. Goodearl, K. R., Von Neumann Regular Rings. Pitman, Londres, 1979. Google Scholar

[3] 3. Goodearl, K. R., Handelman, D. et Lawrence, J., Affine representations of Grothendieck groups and applications to Rickart C*-algebras and ℵ-continuous regular rings, Memoirs Amer. Math. Soc. 234 (1980). Google Scholar

[4] 4. Goursaud, J.-M. et Jérémy, L., Sur l'enveloppe injective des anneaux réguliers, Comm. Algebra, 3 (1975), 763-779. Google Scholar

[5] 5. Handelman, D., K of von Neumann and AFC* algebras, Quart. J. Math. Oxford, 29 (1978), 427-441. Google Scholar

[6] 6. Lambek, J., Lectures on Rings and Modules. Blaisdell, Waltham, Mass., Toronto, Londres, 1966. Google Scholar

[7] 7. Pierce, R. S., Modules over commutative regular rings, Mémoires Amer. Math. Soc, 70 (1967). Google Scholar

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