Following the recent survey on Buchberger-Zacharias Theory for monoid rings R[S] over a unitary effective ring R and an effective monoid S, we propose here a presentation of Buchberger Zacharias Theory and related Grobner basis computation algorithms for multivariate Ore extensions of rings presented as modules over a principal ideal domain, using Moller-Pritchard lifting theorem.

Buchberger-Zacharias Theory of multivariate Ore extensions / Ceria, Michela; Mora, Teo. - In: JOURNAL OF PURE AND APPLIED ALGEBRA. - ISSN 0022-4049. - 221:12(2017), pp. 2974-3026. [10.1016/j.jpaa.2017.02.011]

Buchberger-Zacharias Theory of multivariate Ore extensions

Ceria Michela;
2017-01-01

Abstract

Following the recent survey on Buchberger-Zacharias Theory for monoid rings R[S] over a unitary effective ring R and an effective monoid S, we propose here a presentation of Buchberger Zacharias Theory and related Grobner basis computation algorithms for multivariate Ore extensions of rings presented as modules over a principal ideal domain, using Moller-Pritchard lifting theorem.
2017
Buchberger-Zacharias Theory of multivariate Ore extensions / Ceria, Michela; Mora, Teo. - In: JOURNAL OF PURE AND APPLIED ALGEBRA. - ISSN 0022-4049. - 221:12(2017), pp. 2974-3026. [10.1016/j.jpaa.2017.02.011]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11589/226696
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