On the multiplicity of zeros of polynomials over arbitrary finite dimensional k-algebras

DOI10.1007/BF01215249zbMath0581.12011OpenAlexW2048260351MaRDI QIDQ1068136

F. Leon Pritchard

Publication date: 1984

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155045

zbMATH Keywords

multiplicityzeros of polynomialalgebra of formal polynomialsalgebra of polynomial functionsm-ary algebras

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Multiplicity theory and related topics (13H15) Polynomials in general fields (irreducibility, etc.) (12E05) Polynomials in real and complex fields: location of zeros (algebraic theorems) (12D10) General theory of nonassociative rings and algebras (17A01)

Related Items (1)

Local Bezout estimates and multiplicities of parameter and primary ideals

Cites Work

• Unnamed Item
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• Codimension and multiplicity
• On the zeros of polynomials over arbitrary finite dimensional algebras
• On System of Parameters, Local Intersection Multiplicity and Bezout's Theorem

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