Idempotent factorizations of singular 2 × 2 matrices over quadratic integer rings
From MaRDI portal
Publication:5070354
DOI10.1080/03081087.2020.1721416zbMath1489.15022arXiv1910.01893OpenAlexW3004444531WikidataQ114100594 ScholiaQ114100594MaRDI QIDQ5070354
Publication date: 11 April 2022
Published in: Linear and Multilinear Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1910.01893
Factorization of matrices (15A23) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Linear algebraic groups over global fields and their integers (20G30) Algebraic numbers; rings of algebraic integers (11R04)
Cites Work
- Euclidean pairs and quasi-Euclidean rings.
- Products of idempotent matrices over integral domains
- Products of idempotents in regular rings. II
- Products of idempotent matrices over Hermite domains
- Products of elementary matrices and non-Euclidean principal ideal domains
- Bounded generation of \(\mathrm{SL}_2\) over rings of \(S\)-integers with infinitely many units
- Products of elementary and idempotent matrices over integral domains
- On the structure of the \(GL_ 2\) of a ring
- Solution of the congruence subgroup problem for \(\text{SL}_ n\) \((n\geq 3)\) and \(\text{Sp}_{2n}\) \((n\geq 2)\)
- Idempotent Pairs and PRINC Domains
- Elementary matrices and products of idempotents
- On the group S L 2 over orders of arithmetic type.
- Products of idempotent integer matrices
- Minimal Pr\"ufer-Dress rings and products of idempotent matrices
- PRINC domains and comaximal factorization domains
- Factorizations into idempotent factors of matrices over Prüfer domains
- On the finite generation of linear groups over Hasse domains.
- Decomposition of singular matrices into idempotents
- On products of idempotent matrices
- Elementary Divisors and Modules
- Products of idempotent matrices
- Unnamed Item
This page was built for publication: Idempotent factorizations of singular 2 × 2 matrices over quadratic integer rings
