An analogue of Serre’s conjecture for a ring of distributions
| Autor: | Amol Sasane |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
algebraic k-theory
Ring (mathematics) Algebra and Number Theory Applied Mathematics serre’s conjecture primary 46f10 secondary 19b10 19k99 46h05 Square matrix Identity (music) Convolution law.invention Hermite ring Combinatorics Multiplication (music) Matrix (mathematics) Invertible matrix schwartz distribution theory law QA1-939 hermite ring QA Mathematics Geometry and Topology Mathematics |
| Zdroj: | Topological Algebra and its Applications, Vol 8, Iss 1, Pp 88-91 (2020) |
| ISSN: | 2299-3231 |
| DOI: | 10.1515/taa-2020-0100 |
| Popis: | The set 𝒜 := δ0+ 𝒟+′, obtained by attaching the identity δ0 to the set 𝒟+′ of all distributions on 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. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|