Autor:	Rosenkranz, Markus, Gao, Xing, Guo, Li
Rok vydání:	2015
Předmět:	Mathematics - Rings and Algebras 47G10 16W99 16T10 68W30 12H05 47G20 13N10 16W70
Zdroj:	Joural Algebra and Its Applications, 18 (2019), 1950207, 51pp
Druh dokumentu:	Working Paper
Popis:	We set up an algebraic theory of multivariable integration, based on a hierarchy of Rota-Baxter operators and an action of the matrix monoid as linear substitutions. Given a suitable coefficient domain with a bialgebra structure, this allows us to build an operator ring that acts naturally on the given Rota-Baxter hierarchy. We conjecture that the operator relations are a noncommutative Groebner basis for the ideal they generate. Comment: 44 pages, 1 table
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1503.01694 Zobrazit plný text záznamu View this record from Arxiv