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Groups with various types of operators, in particular the recently introduced Rota-Baxter groups, have generated renowned interest with close connections to numerical integrals, Yang-Baxter equation, integrable systems and post-Hopf algebras.… Click to show full abstract
Groups with various types of operators, in particular the recently introduced Rota-Baxter groups, have generated renowned interest with close connections to numerical integrals, Yang-Baxter equation, integrable systems and post-Hopf algebras. This paper gives the general notion of operated groups and provides explicit constructions of free operated groups, free differential groups and free Rota-Baxter groups.
Keywords:
rota baxter;
groups differential;
baxter groups;
operated groups;
differential groups
Journal Title: Communications in Algebra
Year Published: 2022
Link to full text (if available)
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Journal Title: Communications in Algebra
Year Published: 2022
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!