An introduction to Rota-Baxter algebra

By Li Guo, W. Poon. 2012

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How researchers see this paper

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Simple finite-dimensional double algebras (2016, methodology): “Associative algebras with Rota— Baxter operator (Rota—Baxter algebras) have a well-developed theory, see [3].”
Deformations of associative Rota-Baxter operators (2019, unknown): “Thus, an O-operator is a generalization of Rota-Baxter operator [18].”
Rota—Baxter groups, skew left braces, and the Yang—Baxter equation (2021, methodology): “Rota—Baxter operators on algebras are known since the middle of the previous century [8, 45] and they have in turn connections with mathematical physics (classical and associative Yang—Baxter equations), number theory, operad theory, Hopf algebras, combinatorics et cetera, see the monograph [23].”
Matching Rota-Baxter algebras, matching dendriform algebras and matching pre-Lie algebras (2019, background): “Baxter [9] and attracted quite much attention for its broad applications [14, 25, 38].”
Rota-Baxter operators on cocommutative Hopf algebras. (2020, unknown): “For basic results and the main properties of Rota-Baxter algebras see [7].”
On integro-differential algebras (2012, background): “n≥0 A T is the mixable shuffle algebra [17, 19, 24] on the k-algebra AT .”