%0 Journal Article %A Sajjad Rahmany and Abdolali Basiri %D 2010 %J International Journal of Mathematical and Computational Sciences %B World Academy of Science, Engineering and Technology %I Open Science Index 38, 2010 %T Computing SAGB-Gröbner Basis of Ideals of Invariant Rings by Using Gaussian Elimination %U https://publications.waset.org/pdf/15048 %V 38 %X The link between Gröbner basis and linear algebra was described by Lazard [4,5] where he realized the Gr┬¿obner basis computation could be archived by applying Gaussian elimination over Macaulay-s matrix . In this paper, we indicate how same technique may be used to SAGBI- Gröbner basis computations in invariant rings. %P 205 - 208