Idempotent factorization of matrices over a Prüfer domain of rational functions
Cossu L.
2022-01-01
Abstract
We consider the smallest subring D of R(X) containing every element of the form 1/(1 + x(2)), with x is an element of R(X). D is a Pruifer domain called the minimal Dress ring of R(X). In this paper, addressing a general open problem for Pruifer non Bezout domains, we investigate whether 2 x 2 singular matrices over D can be decomposed as products of idempotent matrices. We show some conditions that guarantee the idempotent factorization in M-2(D).File | Size | Format | |
---|---|---|---|
2215-Article Text-6728-1-10-20220627.pdf open access
Type: versione editoriale
Size 164.88 kB
Format Adobe PDF
|
164.88 kB | Adobe PDF | View/Open |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.