An analogue of Serre’s conjecture for a ring of distributions
Sasane, A.
(2020).
An analogue of Serre’s conjecture for a ring of distributions.
Topological Algebra and its Applications,
8(1), 88 - 91.
https://doi.org/10.1515/taa-2020-0100
(2020).
An analogue of Serre’s conjecture for a ring of distributions.
Topological Algebra and its Applications,
8(1), 88 - 91.
https://doi.org/10.1515/taa-2020-0100
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.
