Title  Solving linear systems of equations over integers with Gr\"obner bases. 
Author(s)  Amir Hashemi 
Type  Article in Journal 
Abstract  We introduce a novel application of Gröbner bases to solve (nonhomogeneous) systems of integer linear equations over integers. For this purpose, we present a new algorithm which ascertains whether a linear system of equations has an integer solution or not; in the affirmative case, the general integer solution of the system is determined. 
ISSN  00651036; 17306264/e 
File 

URL 
http://journals.impan.pl/cgibin/doi?aa16335 
Language  English 
Journal  Acta Arith. 
Volume  163 
Number  3 
Pages  261270 
Publisher  Polish Academy of Sciences (Polska Akademia Nauk  PAN), Institute of Mathematics (Instytut Matematy 
Year  2014 
Edition  0 
Translation 
No 
Refereed 
No 