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NC.PrefixInterreduction

Prefix interreduction of a list of polynomials in a finitely presented monoid ring.
Syntax
          
NC.PrefixInterreduction(G:LIST):LIST

          

Description
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 indeterminates) X, rewrite relations Relations and ordering Ordering through the functions NC.SetFp(Prime), NC.SetX(X), NC.SetRelations(Relations) and NC.SetOrdering(Ordering), respectively, before calling the function. Default coefficient field is Q. Default ordering is length-lexicographic ordering "LLEX". For more information, please check the relevant functions.

Example
NC.SetX("abc");
NC.SetOrdering("LLEX");
NC.SetRelations([["aa",""], ["bb",""], ["ab","c"], ["ac", "b"], ["cb", "a"]]);
G:=[[[1,"b"],[1,""]], [[1,"c"]],[[1,"ba"]]];
NC.PrefixInterreduction(G);

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