Details:
Title  Finite Gr\"obner basis algebra with unsolvable problem of zero divisors.  Author(s)  I.A. IvanovPogodaev  Type  Article in Journal  Abstract  This work presents a sample construction of an algebra with the ideal of relations defined by a finite Gröbner basis for which the question whether this element is a zero divisor is algorithmically unsolvable. This gives the negative answer to a question raised by V. N. Latyshev.  ISSN  10723374; 15738795/e 
URL 
http://link.springer.com/article/10.1007%2Fs109580089062y 
Language  English  Journal  J. Math. Sci., New York  Volume  152  Number  2  Pages  191202  Publisher  Springer US, New York, NY  Year  2008  Edition  0  Translation 
No  Refereed 
No 
