Journal of Algebra, Number Theory: Advances and ApplicationsAuthor's: Hamid Kulosman and Stephanie Britt
Pages: [41] - [48]
Received Date: September 20, 2010
Submitted by:
We find a necessary and sufficient condition for a set 
of two polynomials (of special form) in
n-variables over a Noetherian commutative ring to be a Gröbner
basis of the ideal 
That can eventually be used to obtain faster
versions of the Insa-Pauer criterion (an analogue of Buchberger’s
criterion in the case of rings).
Gröbner basis, Buchberger’s criterion, Insa-Pauer’s criterion, polynomials over Noetherian commutative rings.
