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On canonical bases of a formal ${\mathbb K}-algebra

Published 13 Jun 2018 in math.RA and math.AC | (1806.05044v2)

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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