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A strong cancellation theorem for modules over C∞ × Cq

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://projecteuclid.org/journals/rmjm/rocky-moun...
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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