Article
Gröbner δ-bases and Gröbner bases for differential operators
Author/s | Castro Jiménez, Francisco Jesús
Moreno Frías, María Ángeles |
Department | Universidad de Sevilla. Departamento de álgebra |
Publication Date | 2002 |
Deposit Date | 2016-09-06 |
Published in |
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Abstract | This paper deals with the notion of Gr¨obner δ-base for some rings of linear differential operators by adapting the works of W. Trinks, A. Assi, M. Insa and F. Pauer. We compare this notion with the one of Gröbner base for ... This paper deals with the notion of Gr¨obner δ-base for some rings of linear differential operators by adapting the works of W. Trinks, A. Assi, M. Insa and F. Pauer. We compare this notion with the one of Gröbner base for such rings. As an application, and following a previous work of A. Assi, we give some results on finiteness and on flatness of finitely generated left modules over these rings. |
Funding agencies | Dirección General de Enseñanza Superior e Investigación Científica (DGESIC). España Junta de Andalucía |
Project ID. | BFM2001-3164
A.I.H.F.2000-0044 FQM-218 |
Citation | Castro Jiménez, F.J. y Moreno Frías, M.Á. (2002). Gröbner δ-bases and Gröbner bases for differential operators. Banach Center Publications, 58 (1), 45-61. |
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