Computing \(J\)-ideals of a matrix over a principal ideal domain

DOI10.1016/j.laa.2017.03.028zbMath1366.13014arXiv1611.10308OpenAlexW2559162683MaRDI QIDQ2359556

Roswitha Rissner, Clemens Heuberger

Publication date: 22 June 2017

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

Full work available at URL: https://arxiv.org/abs/1611.10308

zbMATH Keywords

principal ideal domain\(J\)-idealpolynomials over rings of matrices

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Polynomials in number theory (11C08) Matrices of integers (15B36)

Related Items (2)

Null ideals of subsets of matrix rings over fields ⋮ Integer-Valued Polynomials on Algebras: A Survey of Recent Results and Open Questions

Cites Work

• Null ideals of matrices over residue class rings of principal ideal domains
• Certain Classes of Ideals in Polynomial Rings
• Polynomial Algorithms for Computing the Smith and Hermite Normal Forms of an Integer Matrix
• Null ideals and spanning ranks of matrices
• Lifting standard bases in filtered structures
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