An analogue of Serre’s conjecture for a ring of distributions
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
(2020)
An analogue of Serre’s conjecture for a ring of distributions
Topological Algebra and its Applications, 8 (1).
88 - 91.
ISSN 2299-3231
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.
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