Johnson, Francis;
(2023)
A strong cancellation theorem for modules over C∞ × Cq.
Rocky Mountain Journal of Mathematics
(In press).
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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 q is prime we prove a strong cancellation property for certain modules over Z[C∞×Cq], generalizing, in part, the strong cancellation property for modules over Z[Cq] established in the paper of R.Wiegand [18].
| Type: | Article |
|---|---|
| Title: | A strong cancellation theorem for modules over C∞ × Cq |
| Publisher version: | https://rmmc.asu.edu/rmj/rmj.html |
| Language: | English |
| Additional information: | This version is the author-accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions. |
| Keywords: | Strong cancellation semigroup, Swan module. |
| UCL classification: | UCL 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/10168249 |
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