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Communications in Algebra Volume 32, 2004 - Issue 7
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Original Articles

On Induced Modules Over Ore Extensions

André Leroy Department of Mathematics, Faculté Jean Perrin, Université d'Artois, Lens, France; Department of Mathematics, Faculté Jean Perrin, Université d'Artois, 23 rue Jean Souvraz 62307 Lens, FranceCorrespondence[email protected]
&
Jerzy Matczuk Institute of Mathematics, Warsaw University, Warsaw, Poland
Pages 2743-2766 | Received 01 Jan 2003, Published online: 18 Aug 2006
 
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Abstract

Let R be a ring and S = R[x;σ, δ] its Ore extension. For an R-module M R we investigate the uniform dimension and associated primes of the induced S-module M ⊗ R  S.

Mathematics Subject Classification:

Acknowledgment

The second author was supported by the Flemish–Polish bilateral agreement BIL 01/31.

Notes

#Communicated by E. Puczylowski.

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