On integro-differential algebras
- Autores: Li Guo, Georg Regensburger, Markus Rosenkranz
- Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 218, Nº 3, 2014, págs. 456-473
- Idioma: inglés
- DOI: 10.1016/j.jpaa.2013.06.015
- Enlaces
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Resumen
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 integrodifferential algebra with a weight, in analogy to the differential Rota�Baxter algebra.
We construct free commutative integro-differential algebras with weight generated by a differential algebra. This gives in particular an explicit construction of the integrodifferential algebra on one generator. Properties of the free objects are studied.
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