English

Classification of monomial Rota-Baxter operators on k[x]

Commutative Algebra 2015-05-13 v2 Rings and Algebras

Abstract

Rota-Baxter operators were introduced to solve certain analytic and combinatorial problems and then applied to many fields in mathematics and mathematical physics. The polynomial algebra k[x]\mathbf{k}[x] plays a central role both in analysis and algebra. In this paper, we explicitly classified all monomial Rota-Baxter operators on k[x]\mathbf{k}[x].

Cite

@article{arxiv.1503.02606,
  title  = {Classification of monomial Rota-Baxter operators on k[x]},
  author = {Houyi Yu},
  journal= {arXiv preprint arXiv:1503.02606},
  year   = {2015}
}

Comments

13 pages. Comments are welcome! arXiv admin note: text overlap with arXiv:1407.5306 by other authors

R2 v1 2026-06-22T08:47:53.288Z