Johnson, FEA;
(2019)
A cancellation theorem for generalized Swan modules.
Illinois Journal of Mathematics
, 63
(1)
pp. 103-125.
10.1215/00192082-7600042.
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Abstract
The module cancellation problem asks whether, given modules X. X0 and Y over a ring Λ, the existence of an isomorphism X ⊕ Y ∼= X0 ⊕ Y implies that X ∼= X0 . When Λ is the integral group ring of a metacyclic group G(p, q) results of Klingler [9] show that the answer to this question is generally negative. By contrast in this case we show that cancellation holds when Y = Λ and X is a generalized Swan module.
| Type: | Article |
|---|---|
| Title: | A cancellation theorem for generalized Swan modules |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1215/00192082-7600042 |
| Publisher version: | http://doi.org/10.1215/00192082-7600042 |
| Language: | English |
| Additional information: | This version is the version of record. For information on re-use, please refer to the publisher’s terms and conditions. |
| Keywords: | Cancellation, generalized Swan module; metacyclic group. |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10066264 |
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