A generalized Serre problem

DOI10.1016/j.jalgebra.2003.10.035zbMath1079.13005OpenAlexW2065395252MaRDI QIDQ1882990

Vasudevan Srinivas

Publication date: 1 October 2004

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2003.10.035

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Projective and free modules and ideals in commutative rings (13C10)

Related Items (11)

The generalized Serre problem over \(K\)-Hermite rings ⋮ Factorization for \(n\)-D polynomial matrices over arbitrary coefficient field ⋮ New remarks on the factorization and equivalence problems for a class of multivariate polynomial matrices ⋮ New results on multivariate polynomial matrix factorizations ⋮ The Smith normal form and reduction of weakly linear matrices ⋮ On minor prime factorizations for multivariate polynomial matrices ⋮ Minor prime factorization for \(n\)-D polynomial matrices over arbitrary coefficient field ⋮ Notes on factor prime factorizations for \(n\)-D polynomial matrices ⋮ On rank factorizations and factor prime factorizations for multivariate polynomial matrices ⋮ On general factorizations for \(n\)-D polynomial matrices ⋮ Solving linear systems via Pfaffians

Cites Work

• Serre's conjecture
• Bertini theorems for ideals linked to a given ideal
• Projective modules over polynomial rings
• A generalization of Serre's conjecture and some related issues
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