Null ideals and spanning ranks of matrices

DOI10.1080/00927879808826285zbMath0909.15003OpenAlexW2140620216MaRDI QIDQ4212512

William C. Brown

Publication date: 28 March 1999

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

Full work available at URL: https://doi.org/10.1080/00927879808826285

zbMATH Keywords

polynomial ringlocal ringDedekind domainsnull idealrank of matricesMcCoy rankmatrix over a commutative ringspanning rank

Mathematics Subject Classification ID

Factorization of matrices (15A23) Vector spaces, linear dependence, rank, lineability (15A03)

Related Items (10)

Computing \(J\)-ideals of a matrix over a principal ideal domain ⋮ Integrally Closed Domains, Minimal Polynomials, and Null Ideals of Matrices ⋮ Null ideals of subsets of matrix rings over fields ⋮ Fast computation of the rank profile matrix and the generalized Bruhat decomposition ⋮ Weakly Integrally Closed Numerical Monoids and Forbidden Patterns ⋮ Null Ideals of Matrices ⋮ Null ideals and spanning ranks of matrices, II ⋮ Quadratic polynomials, factorization in integral domains and Schreier domains from pullbacks ⋮ Null ideals of matrices over residue class rings of principal ideal domains ⋮ Weakly integrally closed domains:minimum polynomials of matrices

Cites Work

• Nonnegative rank-preserving operators
• Unnamed Item

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