On Integro-Differential Algebras
| Autor: | Guo, Li, Regensburger, Georg, Rosenkranz, Markus |
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| Rok vydání: | 2012 |
| Předmět: | |
| Zdroj: | Journal of Pure and Applied Algebra 218 (2014), 456-471 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1016/j.jpaa.2013.06.015 |
| Popis: | The concept of integro-differential algebra has been introduced recently in the study of boundary problems of differential equations. We generalize this concept to that of integro-differential algebra with a weight, in analogy to the differential Rota-Baxter algebra. We construct free commutative integro-differential algebras with weight generated by a base differential algebra. This in particular gives an explicit construction of the integro-differential algebra on one generator. Properties of these free objects are studied. Comment: 26 pages |
| Databáze: | arXiv |
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