Representations under ring extensions: Latimer-MacDuffee and Taussky correspondences

DOI10.1016/0001-8708(84)90044-6zbMath0563.13016OpenAlexW2046648680MaRDI QIDQ1057327

Robert M. Guralnick, Dennis R. Estes

Publication date: 1984

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0001-8708(84)90044-6

zbMATH Keywords

integral matricesextension of the base ringideals in polynomial ringisomorphism class of rank n projective moduleLatimer-MacDuffee dualityTaussky correspondences

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Ideals and multiplicative ideal theory in commutative rings (13A15) Extension theory of commutative rings (13B02) Matrices of integers (15B36) Representation theory of associative rings and algebras (16Gxx)

Related Items

Similarity of holomorphic matrices ⋮ Similarity of the companion matrix and its transpose (with an appendix by Robert M. Guralnick) ⋮ Modules and matrices ⋮ Similarity and commutators of matrices over principal ideal rings

Cites Work

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