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arXiv:0809.1773 [math.RA]AbstractReferencesReviewsResources

Compatible associative products and trees

Vladimir Dotsenko

Published 2008-09-10, updated 2008-12-09Version 2

We compute dimensions of graded components for free algebras with two compatible associative products, and give a combinatorial interpretation of these algebras in terms of planar rooted trees.

Comments: 19 pages, added a note on relation to other operads
Journal: Algebra & Number Theory, Vol. 3 (2009), No. 5, 567-586
Categories: math.RA, math.CO
Subjects: 08B20, 18D50, 05C05
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