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Affine algebraic monoids as endomorphisms' monoids of finite-dimensional algebras

Algebraic Geometry 2025-03-06 v1 Rings and Algebras Representation Theory

Abstract

In this note we prove that any affine algebraic monoid can be obtained as the endomorphisms' monoid of a finite-dimensional (nonassociative) algebra.

Keywords

Cite

@article{arxiv.0809.2356,
  title  = {Affine algebraic monoids as endomorphisms' monoids of finite-dimensional algebras},
  author = {Alexander Perepechko},
  journal= {arXiv preprint arXiv:0809.2356},
  year   = {2025}
}

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6 pages, 0 figures