Canonical bases of modules over one dimensional \(\mathbf{K}\)-algebras

DOI10.1007/s13398-018-0538-4zbMath1423.14337arXiv1703.02825OpenAlexW2592130729MaRDI QIDQ2314652

Yanyan Li

Publication date: 29 July 2019

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.02825

zbMATH Keywords

Kähler differentialsnumerical semigroupscanonical basespolynomial curves

Mathematics Subject Classification ID

Commutative semigroups (20M14) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Plane and space curves (14H50) Computational aspects of algebraic curves (14Q05) Singularities of curves, local rings (14H20) Formal power series rings (13F25) Arithmetic theory of semigroups (20M13)

Uses Software

• GAP
• numericalsgps

Cites Work

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• Bases of subalgebras of \(\mathbb{K}[\![ x \!]\) and \(\mathbb{K}[x]\)]
• Algorithms for curves with one place at infinity
• Numerical semigroups.
• Commutative algebra. Proceedings of a workshop held in Salvador, Brasil, Aug. 8-17, 1988
• Standard bases for local rings of branches and their modules of differentials
• Differentialmoduln eindimensionaler lokaler Ringe
• Algebroid plane curves whose Milnor and Tjurina numbers differ by one or two
• numericalsgps, a GAP package for numerical semigroups
• Numerical semigroups and applications

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