Mathematics – Rings and Algebras
Scientific paper
2009-08-17
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.
Bokut Leonid A.
Chen Yuqun
Deng Xueming
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