Factorization of transformations over a local ring

DOI10.1016/0024-3795(87)90205-9zbMath0609.15008OpenAlexW2016084174MaRDI QIDQ1086650

Hiroyuki Ishibashi, Erich W. Ellers

Publication date: 1987

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(87)90205-9

zbMATH Keywords

free moduledeterminantlocal ringinvertible linear transformation

Mathematics Subject Classification ID

Factorization of matrices (15A23) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Linear transformations, semilinear transformations (15A04)

Related Items

A comparison of length definitions for maps of modules over local rings ⋮ Products of quasireflections and transvections over local rings ⋮ Length problems for automorphisms of modules over local rings. ⋮ Linear groups over general rings. I: Generalities. ⋮ Width of groups of type \(\mathrm E_6\) with respect to root elements. II. ⋮ The width of the group \(\mathrm{GL}(6,K)\) with respect to a set of quasiroot elements. ⋮ Commutators and companion matrices over rings of stable rank 1 ⋮ Generators for classical groups of modules over local rings ⋮ Width of groups of type $\mathrm E_{6}$ with respect to root elements. I ⋮ On simple factorization of invertible matrices

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