Dimension pure globale des anneaux commutatifs |
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| Authors: | Salles Danielle |
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| Institution: | Departement de Mathematiques et Informatique , Universite de Caen , Caen-Cédex, 14032, France |
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| Abstract: | For every (n,m) ? IN?× IN ?, verifying l We study direct systems of rings and give a bound for the pure - global - dimension of their limits, not depending on the ring cardinality. Using this result and a theorem of C0UCH0T we give examples of pure -heriditary group- rings (ie. of pure -global - dimension one) of large cardinality. Finaly we prove - using a result of VASC0NCEL0S and a theorem of JENSEN - that some countably products of noetherian rings are coherent rings and that their pure - global - dimension is exactly two. |
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