Sasane, Amol (2020) An analogue of Serre’s conjecture for a ring of distributions. Topological Algebra and its Applications, 8 (1). 88 - 91. ISSN 2299-3231
![]() |
Text (Sasane_an-analogue-of-serres-conjecture--published)
- Published Version
Available under License Creative Commons Attribution. Download (341kB) |
Identification Number: 10.1515/taa-2020-0100
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: | 15 Sep 2023 16:28 |
URI: | http://eprints.lse.ac.uk/id/eprint/104554 |
Actions (login required)
![]() |
View Item |