English

Rota-Baxter operators on generalized power series rings

Rings and Algebras 2013-02-05 v1 Combinatorics

Abstract

An important instance of Rota-Baxter algebras from their quantum field theory application is the ring of Laurent series with a suitable projection. We view the ring of Laurent series as a special case of generalized power series rings with exponents in an ordered monoid. We study when a generalized power series ring has a Rota-Baxter operator and how this is related to the ordered monoid.

Cite

@article{arxiv.0710.0433,
  title  = {Rota-Baxter operators on generalized power series rings},
  author = {Li Guo and Zhongkui Liu},
  journal= {arXiv preprint arXiv:0710.0433},
  year   = {2013}
}

Comments

7 pages

R2 v1 2026-06-21T09:25:01.813Z