A comparison of length definitions for maps of modules over local rings

DOI10.1007/BF01224051zbMath0829.15009MaRDI QIDQ1895177

Catherine Stanley-Albarda

Publication date: 15 August 1995

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

zbMATH Keywords

automorphismsfactorizationsimple mappingsmodules over local ringslength definitions for maps

Mathematics Subject Classification ID

Factorization of matrices (15A23) Endomorphism rings; matrix rings (16S50) Free, projective, and flat modules and ideals in associative algebras (16D40) Other geometric groups, including crystallographic groups (20H15) Linear algebraic groups over adèles and other rings and schemes (20G35)

Related Items (2)

Width of groups of type \(\mathrm E_6\) with respect to root elements. II. ⋮ Width of groups of type $\mathrm E_{6}$ with respect to root elements. I

Cites Work

• Generators for classical groups of modules over local rings
• Factorization of transformations over a local ring
• \(GL^{\pm{}}_ n(R)\) is 5-reflectional
• 5-reflectionality of anisotropic orthogonal groups over valuation rings
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