Nicht lieferbar
Discrete Module Categories
Versandkostenfrei!
Nicht lieferbar
This work is to study generalization of Bousfield sequence. An algebraic category of modules that reflects the structure detected by p-localized complex K-theory has been introduce first by Bousfield and he constructed a 4-term exact sequence. In Clarke et al. identified Bousfield's category as the category of `discrete' modules for a certain topological ring A. We consider a similar construction based on the ring Z[x] and show how the sequence reduces to a three-term sequence. Moreover, we look at some completion and present the cokernels that arise in the associated discrete module categorie...
This work is to study generalization of Bousfield sequence. An algebraic category of modules that reflects the structure detected by p-localized complex K-theory has been introduce first by Bousfield and he constructed a 4-term exact sequence. In Clarke et al. identified Bousfield's category as the category of `discrete' modules for a certain topological ring A. We consider a similar construction based on the ring Z[x] and show how the sequence reduces to a three-term sequence. Moreover, we look at some completion and present the cokernels that arise in the associated discrete module categories. At the end, we found the cokernel of some modules over completion ring can be more like to Bousfield's sequence.