Loughborough University
Leicestershire, UK
LE11 3TU
+44 (0)1509 263171
Loughborough University

Loughborough University Institutional Repository

Please use this identifier to cite or link to this item: https://dspace.lboro.ac.uk/2134/2321

Title: Gröbner bases and products of coefficient rings
Authors: Norton, G.H.
Salagean, A.M.
Issue Date: 2002
Publisher: © Australian Mathematical Society
Citation: NORTON and SALAGEAN, 2002. Gröbner bases and products of coefficient rings. Bulletin of the Australian Mathematical Society, 65, pp. 147-154
Abstract: Suppose that A is a finite direct product of commutative rings. We show from first principles that a Gröbner basis for an ideal of A[x1,..., xn] can be easily obtained by ’joining’ Gröbner bases of the projected ideals with coefficients in the factors of A (which can themselves be obtained in parallel). Similarly for strong Gröbner bases. This gives an elementary method of constructing a (strong) Gröbner basis when the Chinese Remainder Theorem applies to the coefficient ring and we know how to compute (strong) Gröbner bases in each factor.
Description: This article was published in the journal, Bulletin of the Australian Mathematical Society[© Australian Mathematical Society]
URI: https://dspace.lboro.ac.uk/2134/2321
ISSN: 0004-9727
Appears in Collections:Published Articles (Computer Science)

Files associated with this item:

File Description SizeFormat
BAMS-NortonSalagean-gbprod.pdf202.14 kBAdobe PDFView/Open


SFX Query

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.