Gröbner-Shirshov bases for Rota-Baxter algebras

Details Gröbner-Shirshov bases for Rota-Baxter algebras Gröbner-Shirshov bases for Rota-Baxter algebras

2009-08-17

arxiv.org/abs/0908.2281v2

Siberian Mathematical Journal, Vol. 51, No. 6, pp. 978-988, 2010

Mathematics

Rings and Algebras

24 pages

Scientific paper

In this paper, we establish the Composition-Diamond lemma for associative
nonunitary Rota-Baxter algebras with weight $\lambda$. As applications, we
obtain a linear basis of a free commutative Rota-Baxter algebra without unity
and show that every countably generated Rota-Baxter algebra with weight 0 can
be embedded into a two-generated Rota-Baxter algebra.

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