Title  On noncommutative Gröbner bases over rings 
Author(s)  E.S. Golod 
Type  Article in Journal 
Abstract  Let R be a commutative ring. It is proved that for verification of whether a set of elements {f α} of the free associative algebra over R is a Gröbner basis (with respect to some admissible monomial order) of the (bilateral) ideal that the elements f α generate it is sufficient to check the reducibility to zero of Spolynomials with respect to {f α} iff R is an arithmetical ring. Some related open questions and examples are also discussed.

Length  4 
ISSN  10723374 (Print) 15738795 
File 

URL 
http://www.springerlink.com/content/8020t13lv7563505/fulltext.pdf 
Language  English 
Journal  Journal of Mathematical Sciences 
Series  Mathematics and Statistics 
Volume  Volume 140 
Number  2 
Pages  239242 
Publisher  Springer New York 
Address  http://www.springerlink.com/content/8020t13lv7563505/ 
Year  2007 
Month  January 
Edition  0 
Translation 
No 
Refereed 
No 