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NCo.Interreduction

Interreduce a LIST of polynomials in a free monoid ring.
Syntax
          
NCo.Interreduction(G:LIST):LIST

          

Description
Note that, given a word ordering Ordering, a set of non-zero polynomials G is called interreduced with respect to Ordering if no element of Supp(g) is contained in the leading word ideal LW(G\{g}) for all g in G.

Please note: The function(s) explained on this page is/are using the ApCoCoAServer. You will have to start the ApCoCoAServer in order to use it/them.

Please set ring environment coefficient field K, alphabet (or set of indeterminates) X and ordering via the functions NCo.SetFp, NCo.SetX and NCo.SetOrdering, respectively, before using this function. The default coefficient field is Q, and the default ordering is the length-lexicographic ordering ("LLEX"). For more information, please check the relevant functions.

Example
NCo.SetX("abc");
NCo.SetOrdering("ELIM");
G:=[[[1,"ba"]], [[1,"b"],[1,""]], [[1,"c"]]];
NCo.Interreduction(G);

[[[1, "a"]], [[1, "b"], [1, ""]], [[1, "c"]]]
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See Also