The quiver of an affine monoid

M. H. Shahzamanian; Benjamin Steinberg

The quiver of an affine monoid

Representation Theory 2021-06-21 v2 Combinatorics Rings and Algebras

Authors: M. H. Shahzamanian , Benjamin Steinberg

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.

Keywords

affine monoid finite commutative ring gabriel quiver semidirect product complex algebra

Cite

@article{arxiv.2009.12340,
  title  = {The quiver of an affine monoid},
  author = {M. H. Shahzamanian and Benjamin Steinberg},
  journal= {arXiv preprint arXiv:2009.12340},
  year   = {2021}
}

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The quiver of an affine monoid

Abstract

Keywords

Cite

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