Macaulay2 » Documentation
Packages » OIGroebnerBases > degree(VectorInWidth)
next | previous | forward | backward | up | index | toc

degree(VectorInWidth) -- get the degree of an element of a free OI-module

Synopsis

Description

Returns the degree of the lead term of an element of a free OI-module.

i1 : P = makePolynomialOIAlgebra(2, x, QQ);
i2 : F = makeFreeOIModule(e, {1,2}, P);
i3 : installGeneratorsInWidth(F, 3);
i4 : f = x_(1,2)*x_(1,1)*e_(3,{2},1)+x_(2,2)*x_(2,1)*e_(3,{1,3},2)

o4 = x   x   e        + x   x   e
      1,2 1,1 3,{2},1    2,2 2,1 3,{1, 3},2

                                             6
o4 : (QQ[x   , x   , x   , x   , x   , x   ])  in width 3
          2,3   2,2   2,1   1,3   1,2   1,1
i5 : degree f

o5 = 2

Ways to use this method: