Products of elementary matrices and non-Euclidean principal ideal domains

DOI10.1016/j.jalgebra.2017.11.051zbMath1383.15011OpenAlexW2776932342MaRDI QIDQ1703210

Umberto Zannier, Paolo Zanardo, Laura Cossu

Publication date: 1 March 2018

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2017.11.051

zbMATH Keywords

elementary matricesidempotent matricesgeneralized Euclidean ringsnon-Euclidean principal ideal domains

Mathematics Subject Classification ID

Factorization of matrices (15A23) Euclidean rings and generalizations (13F07) Algebraic functions and function fields in algebraic geometry (14H05)

Related Items (7)

An abstract factorization theorem and some applications ⋮ \(\mathrm{GE}_2\)-rings and a graph of unimodular rows ⋮ Idempotent factorizations of singular 2 × 2 matrices over quadratic integer rings ⋮ Controlling distribution of prime sequences in discretely ordered principal ideal subrings of ℚ[𝕩] ⋮ PRINC domains and comaximal factorization domains ⋮ Singular matrices that are products of two idempotents or products of two nilpotents ⋮ Factorizations into idempotent factors of matrices over Prüfer domains

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