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TitleComposition-diamond lemma for $lambda$-differential associative algebras with multiple operators.
Author(s) Yu-Fu Chen, Jianjun Qiu
TypeArticle in Journal
AbstractIn this paper, we establish the Composition-Diamond lemma for λ-differential associative algebras over a field K with multiple operators. As applications, we obtain Gröbner–Shirshov bases of free λ-differential Rota–Baxter algebras. In particular, linear bases of free λ-differential Rota–Baxter algebras are obtained and consequently, the free λ-differential Rota–Baxter algebras are constructed by words.

Keywordsλ-differential Rota–Baxter algebra; λ-differential associative algebra with multiple operators; Gröbner–Shirshov basis
ISSN0219-4988
URL http://www.worldscientific.com/doi/abs/10.1142/S0219498810003859
LanguageEnglish
JournalJ. Algebra Appl.
Volume9
Number2
Pages223--239
PublisherWorld Scientific, Singapore
Year2010
Edition0
Translation No
Refereed No
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