Bases of subalgebras of \(\mathbb{K}[\![ x ]\!]\) and \(\mathbb{K}[x]\)

DOI10.1016/J.JSC.2016.08.002zbMath1351.13013arXiv1412.4089OpenAlexW2963081530MaRDI QIDQ321271

Abdallah Assi, Pedro A. García Sánchez, Vincenzo Micale

Publication date: 13 October 2016

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.4089

zbMATH Keywords

numerical semigroupbases of subalgebrasvalue semigroup

Mathematics Subject Classification ID

Commutative semigroups (20M14) Formal power series rings (13F25)

Related Items (3)

What Happens When the Division Algorithm “Almost” Works ⋮ On canonical bases of a formal 𝕂-algebra ⋮ Canonical bases of modules over one dimensional \(\mathbf{K}\)-algebras

Uses Software

• GAP
• numericalsgps

Cites Work

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• On the degree of singularity of one-dimensional analytically irreducible Noetherian local rings
• Maximality properties in numerical semigroups and applications to one-dimensional analytically irreducible local domains
• Order Bases of Subalgebras of Power Series Rings
• numericalsgps, a GAP package for numerical semigroups
• The Value-Semigroup of a One-Dimensional Gorenstein Ring
• On numerical semigroups

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