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Gröbner finite path algebras

Authors :
Leamer, Micah J.
Source :
Journal of Symbolic Computation. Jan2006, Vol. 41 Issue 1, p98-111. 14p.
Publication Year :
2006

Abstract

Abstract: Let be a field and a finite directed multi-graph. The focus of this paper is to offer a complete description of all path algebras and admissible orders with the property that all of their finitely generated ideals have finite Gröbner bases and of those which contain a finitely generated ideal whose Gröbner bases are all infinite. [Copyright &y& Elsevier]

Subjects

Subjects :
*ALGEBRA
*MATHEMATICAL analysis
*MATHEMATICS
*EQUATIONS

Details

Language :
English
ISSN :
07477171
Volume :
41
Issue :
1
Database :
Academic Search Index
Journal :
Journal of Symbolic Computation
Publication Type :
Academic Journal
Accession number :
19167899
Full Text :
https://doi.org/10.1016/j.jsc.2005.08.002
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