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tNextMon -- give the t-lex successor of a given t-spread monomial



the function tNextMon(u,t) gives the t-lex successor of t, that is, the greatest t-spread monomial less than u with respect to $>_\mathrm{slex}.$
If FixedMax is true the function tNextMon(u,t,FixedMax=>true) gives the t-lex successor for which the maximum of the support is $\max\textrm{supp}(\texttt{u}).$
Given a $t$-spread monomial $u=x_{i_1}x_{i_2}\cdots x_{i_d}$, we define $\textrm{supp}(u)=\{i_1,i_2,\ldots, i_d\}$.


i1 : S=QQ[x_1..x_16]

o1 = S

o1 : PolynomialRing
i2 : tNextMon(x_2*x_6*x_10*x_13,3)

o2 = x x x  x
      2 6 10 14

o2 : S
i3 : tNextMon(x_2*x_6*x_10*x_13,3,FixedMax=>true)

o3 = x x x  x
      2 7 10 13

o3 : S

See also

Ways to use tNextMon :

For the programmer

The object tNextMon is a method function with options.