On quadratic integral polynomials with only finitely many roots in any commutative finite-dimensional algebra

DOI10.1007/S00025-010-0063-ZzbMath1219.13003OpenAlexW2108199269MaRDI QIDQ606387

David E. Dobbs

Publication date: 17 November 2010

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

Full work available at URL: https://doi.org/10.1007/s00025-010-0063-z

zbMATH Keywords

rootsquadratic polynomialsnilradicalfielddual numberscommutative finite-dimensional algebras

Mathematics Subject Classification ID

Polynomials in number theory (11C08) Polynomials in general fields (irreducibility, etc.) (12E05) Polynomials over commutative rings (13B25) Commutative Artinian rings and modules, finite-dimensional algebras (13E10)

Cites Work

• Commutative algebras in which polynomials have infinitely many roots
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