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Algebras constructed by Rota-Baxter operators

Rings and Algebras 2025-01-22 v1
Authors: A. S. Dzhumadil'daev
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Abstract

For associative commutative algebras AA with Rota-Baxter operator RR identities of the algebra AR=(A,∘)AR=(A,\circ), where a∘b=aR(b),a\circ b= aR(b), are found.

Keywords

associative algebras hom-lie algebras vertex operator algebras

Cite

@article{arxiv.2501.11534,
  title  = {Algebras constructed by Rota-Baxter operators},
  author = {A. S. Dzhumadil'daev},
  journal= {arXiv preprint arXiv:2501.11534},
  year   = {2025}
}

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