Square-free criteria for polynomials using no derivatives

DOI10.1090/S0002-9939-06-08526-1zbMath1172.12004OpenAlexW1556168633MaRDI QIDQ3420040

Emre Alkan, Alexandru Zaharescu, Nicolae Ciprian Bonciocat, Anca Iuliana Bonciocat

Publication date: 1 February 2007

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-06-08526-1

zbMATH Keywords

resultantspolynomialssquare-free criteria

Mathematics Subject Classification ID

Polynomials in number theory (11C08) Polynomials in real and complex fields: factorization (12D05) Polynomials in general fields (irreducibility, etc.) (12E05) Matrices, determinants in number theory (11C20)

Related Items (2)

Bounds for the Multiplicities of the Irreducible Factors of a Multivariate Polynomial ⋮ Bounds for the multiplicities of the roots of a complex polynomial

Cites Work

• Mathematische Miszellen. XXIV. Zur relativen Stetigkeit von Wurzeln algebraischer Gleichungen
• Introduction to algebra. Transl. from the Russian by Neal Koblitz
• Toward an arithmetic of polynomials
• The separable closure of a local ring
• Separable polynomials over a commutative ring
• Über die Determinanten mit überwiegender Hauptdiagonale
• On Some Conditions for Nonvanishing of Determinants
• Separable Algebras Over Commutative Rings
• Characterization of separable polynomials over a commutative ring
• A Recurring Theorem on Determinants
• Twisted forms of finite étale extensions and separable polynomials
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