# On canonical bases of a formal K-algebra

Abstract : We study canonical bases of a subalgebra ${\bf A}={\mathbb K}[\![f_1,\dots,f_s]\!]\subseteq {\mathbb K}[\![x_1,\dots,x_n]\!]$ over a field ${\mathbb K}$, and we associate with ${\bf A}$ a fan called the canonical fan of $\bf A$. This generalizes the notion of the standard fan of an ideal.
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Cited literature [11 references]

https://hal.archives-ouvertes.fr/hal-01813146
Contributor : Abdallah Assi <>
Submitted on : Tuesday, June 12, 2018 - 9:42:35 AM
Last modification on : Monday, March 29, 2021 - 12:01:05 PM
Long-term archiving on: : Thursday, September 13, 2018 - 2:38:28 PM

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### Identifiers

• HAL Id : hal-01813146, version 1
• ARXIV : 1806.05044

### Citation

Abdallah Assi. On canonical bases of a formal K-algebra. 2018. ⟨hal-01813146⟩

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