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arXiv · 2009.12340

The quiver of an affine monoid

M. H. Shahzamanian·Benjamin Steinberg
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Abstract

If $R$ is a finite commutative ring, then the affine monoid of $R$ is the monoid of all affine mappings $x\mapsto ax+b$ on $R$. Alternatively, it is the semidirect product of the multiplicative monoid of $R$ with the additive group of $R$. In this paper we compute the Gabriel quiver of the complex algebra of the affine monoid of any finite commutative ring.

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M. H. Shahzamanian, Benjamin Steinberg. 2021-06-18. The quiver of an affine monoid. https://arxiv.org/abs/2009.12340

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