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An analogue of Serre’s conjecture for a ring of distributions

Sasane, Amol (2020) An analogue of Serre’s conjecture for a ring of distributions. Topological Algebra and its Applications. ISSN 2299-3231 (In Press)

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Abstract

The set A := Cδ0 + D+′ , obtained by attaching the identity δ0 to the set D+′ of all distributions on R with support contained in (0,∞), forms an algebra with the operations of addition, convolution, multiplication by complex scalars. It is shown that A is a Hermite ring, that is, every finitely generated stably free A-module is free, or equivalently, every tall left-invertible matrix with entries from A can be completed to a square matrix with entries from A, which is invertible.

Item Type: Article
Official URL: https://www.degruyter.com/view/journals/taa/taa-ov...
Additional Information: © 2020 Walter de Gruyter GmbH
Divisions: Mathematics
Subjects: Q Science > QA Mathematics
Date Deposited: 22 May 2020 13:27
Last Modified: 28 May 2020 23:20
URI: http://eprints.lse.ac.uk/id/eprint/104554

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