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

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
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:	17 Oct 2024 16:04
URI:	http://eprints.lse.ac.uk/id/eprint/104554

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