Sasane, Amol ORCID: 0000-0001-5566-9877 (2020) An analogue of Serre’s conjecture for a ring of distributions. Topological Algebra and its Applications, 8 (1). 88 - 91. ISSN 2299-3231
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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 |
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Official URL: | https://www.degruyter.com/view/journals/taa/taa-ov... |
Additional Information: | © 2020 The Author |
Divisions: | Mathematics |
Subjects: | Q Science > QA Mathematics |
Date Deposited: | 22 May 2020 13:27 |
Last Modified: | 01 Oct 2024 03:47 |
URI: | http://eprints.lse.ac.uk/id/eprint/104554 |
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