Rota-Baxter operators on generalized power series rings

Details Rota-Baxter operators on generalized power series rings Rota-Baxter operators on generalized power series rings

2007-10-02

arxiv.org/abs/0710.0433v1

Mathematics

Rings and Algebras

7 pages

Scientific paper

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.

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