Semigroup associated with a free polynomial

DOI10.1016/j.jalgebra.2021.04.019zbMath1478.20038OpenAlexW3162055376MaRDI QIDQ2029236

Abbas Ali, Assi Abdallah

Publication date: 3 June 2021

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2021.04.019

zbMATH Keywords

semigroupformal power seriesNewton-Puiseux expansions

Mathematics Subject Classification ID

Commutative semigroups (20M14) Polynomials over commutative rings (13B25) Formal power series rings (13F25) Combinatorial aspects of commutative algebra (05E40)

Cites Work

• Formal Laurent series in several variables
• Non-characteristic approximate roots of polynomials
• Irreducibility criterion for germs of analytic functions of two complex variables
• Lectures on expansion techniques in algebraic geometry. With notes by Balwant Singh
• THE FROBENIUS VECTOR OF A FREE AFFINE SEMIGROUP
• On Kummer extensions of the power series field
• On the approximate roots of polynomials
• Irreducibility Criterion For Quasi-Ordinary Polynomials

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