Autor:	Gao, Xing, Guo, Li, Rosenkranz, Markus
Rok vydání:	2015
Předmět:	Mathematics - Rings and Algebras 16S32 13N10 16W99 45N05 47G10 12H20
Zdroj:	International Journal of Algebra and Computation, 28 (2018), 1-36
Druh dokumentu:	Working Paper
Popis:	Using the language of operated algebras, we construct and investigate a class of operator rings and enriched modules induced by a derivation or Rota-Baxter operator. In applying the general framework to univariate polynomials, one is led to the integro-differential analogs of the classical Weyl algebra. These are analyzed in terms of skew polynomial rings and noncommutative Groebner bases. Comment: 30 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1512.01247 Zobrazit plný text záznamu View this record from Arxiv