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 / M. Ceria, T. Mora. - In: JOURNAL OF PURE AND APPLIED ALGEBRA. - ISSN 0022-4049. - 221:12(2017 Dec), pp. 2974-3026.
Buchberger-Zacharias Theory of multivariate Ore extensions
Ceria Michela;
2017-12
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.
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