Elementary divisor domains and Bézout domains

DOI10.1016/j.jalgebra.2012.08.020zbMath1266.13014OpenAlexW2100510730MaRDI QIDQ1952160

Dino J. Lorenzini

Publication date: 27 May 2013

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2012.08.020

zbMATH Keywords

symmetric matrixBézout ringelementary divisor ringHermite ringrings defined by matrix propertiestrace zero matrix

Mathematics Subject Classification ID

Factorization of matrices (15A23) Principal ideal rings (13F10) Canonical forms, reductions, classification (15A21)

Related Items (4)

Integral points of certain matrix schemes ⋮ Invertible bases and root vectors for analytic matrix-valued functions ⋮ Matrices in companion rings, Smith forms, and the homology of 3-dimensional Brieskorn manifolds ⋮ Smith normal form in combinatorics

Cites Work

• On the completion of a partial integral matrix to a unimodular matrix
• Similarity to a triangular form
• On commutative rings of finite rank
• Rings of Continuous Functions in Which Every Finitely Generated Ideal is Principal
• Some Remarks About Elementary Divisor Rings
• On Spaces of Linear Transformations with Bounded Rank
• ON THE MAXIMAL RANK IN A SUBSPACE OF MATRICES
• Elementary Divisor Rings and Finitely Presented Modules
• Composition of binary quadratic forms over integral domains
• Matrices with Prescribed Entries and Eigenvalues. I
• Elementary Divisors and Modules
• The elementary divisor theorem for certain rings without chain condition
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