شماره ركورد كنفرانس :
3934
عنوان مقاله :
A new algorithm for computing SAGBI bases up to an arbitrary
degree
پديدآورندگان :
Fakouri Shahnaz sh.fakouri@yahoo.com Damghan University; , Rahmany Sajjad rahmani@du.ac.ir Damghan University;s , Basiri Abdolali basiri@du.ac.ir Damghan University;
كليدواژه :
SAGBI basis , SAGBI algorithm , polynomial algebra , homogeneous polynomial
عنوان كنفرانس :
بيست و پنجمين سمينار جبر ايران
چكيده فارسي :
We present a new algorithm for computing a SAGBI basis up to an arbitrary degree t for a subalgebra
generated by a set of homogeneous polynomials. Our idea is based on linear algebra methods which
cause a low level of complexity and computational cost. We then use it to solve the membership
problem in subalgebras.