The aim of this paper is to give a complete classification for the module orderings which are compatible with their ring ordering and that gives the same ordering on every module component (Riquier orderings). These orderings have simple classifications, based on the classification of ring orderings. The orderings encountered in practice in commutative computer algebra usually are Riquier orderings. (C) 1999 Elsevier Science B.V. All rights reserved.
A Classification of compatible module ordering
CABOARA, MASSIMO;
1999-01-01
Abstract
The aim of this paper is to give a complete classification for the module orderings which are compatible with their ring ordering and that gives the same ordering on every module component (Riquier orderings). These orderings have simple classifications, based on the classification of ring orderings. The orderings encountered in practice in commutative computer algebra usually are Riquier orderings. (C) 1999 Elsevier Science B.V. All rights reserved.File in questo prodotto:
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