RENDICONTI DELL'ISTITUTO DI MATEMATICA DELL'UNIVERSITÀ DI TRIESTE
Abstract
We define Gr ̈bner bases for submodules of Zn and
o
characterize minimal and reduced bases combinatorially in terms
of minimal elements of suitable partially ordered subsets of Zn .
Then we show that Gr ̈bner bases for saturated pure binomial
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ideals of K[x1 , . . . , xn ], char (K) = 2, can be immediately de-
rived from Gr ̈bner bases for appropriate corresponding submod-
o
ules of Zn . This suggests the possibility of calculating the Gr ̈bner
o
bases of the ideals without using the Buchberger algorithm
