Left multiples and right divisors of integral matrices

DOI10.1080/03081088608817722zbMath0589.15010OpenAlexW2041454379MaRDI QIDQ3717219

Robert C. Thompson

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1080/03081088608817722

zbMATH Keywords

invariant factorsintegral matricesgreatest common right divisorleast common left multiple

Mathematics Subject Classification ID

Factorization of matrices (15A23) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Matrices of integers (15B36)

Related Items (8)

Least Common Right Multiple of the Matrices with one Invariant Factor Different from the Identity ⋮ On the structure of least common multiple matrices from some class of matrices ⋮ On the Smith normal form of the least common multiple of matrices from some class of matrices ⋮ An Inequality for Invariant Factors ⋮ Greatest common divisor of matrices one of which is a disappear matrix ⋮ Yukawa couplings from magnetized D-brane models on non-factorisable tori ⋮ Algebra of matrix arithmetic ⋮ A topological approach to divisibility of arithmetical functions and GCD matrices

Cites Work

• Unnamed Item
• A note on matrix inversion
• The Smith form, the inversion rule for 2x2 matrices, and the uniqueness of the invariant factors for finitely generated modules
• Interlacing inequalities for invariant factors
• Unsolved problems in matrix and operator theory. II. Partial multiplicities for products
• A note on matrix equivalence
• A Multiplicative Property of Invariant Factors

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