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The syzygy theorem for Bezout rings.

Authors :
Gamanda, Maroua
Lombardi, Henri
Neuwirth, Stefan
Yengui, Ihsen
Source :
Mathematics of Computation. Mar2020, Vol. 89 Issue 322, p941-964. 24p.
Publication Year :
2020

Abstract

We provide constructive versions of Hilbert's syzygy theorem for Z and Z/NZ following Schreyer's method. Moreover, we extend these results to arbitrary coherent strict Bézout rings with a divisibility test for the case of finitely generated modules whose module of leading terms is finitely generated. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*GROBNER bases

Details

Language :
English
ISSN :
00255718
Volume :
89
Issue :
322
Database :
Academic Search Index
Journal :
Mathematics of Computation
Publication Type :
Academic Journal
Accession number :
140470319
Full Text :
https://doi.org/10.1090/mcom/3466