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arXiv · 2105.02990

Derivations on algebras of one-point compactification of affine semigroups

Roberto Díaz
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Abstract

For any affine semigroup $S$ the set $S\cup\{\infty\}$ has a natural structure of semigroup, additionally if $S$ is endowed with the discrete topology, the semigroup $S\cup\{\infty\}$ can be studied as the one-point compactification of $S$. In this article we study the derivations on the semigroup algebra $\mathbb{C}[S\cup\{\infty\}]$ in relation to the derivations on the semigroup algebra $\mathbb{C}[S]$ considering the metrizable topology on $\mathbb{C}[S\cup\{\infty\}]$ induced by the one-point compactification topology of $S\cup\{\infty\}$.

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Roberto Díaz. 2021-05-06. Derivations on algebras of one-point compactification of affine semigroups. https://arxiv.org/abs/2105.02990

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