Difference between revisions of "ApCoCoA-1:NCo.IsFinite"
From ApCoCoAWiki
(New page: <command> <title>NCo.IsFinite</title> <short_description> Check whether the <tt>K</tt>-dimension <tt>dim(K<X>/<M>)</tt> is finite, where <tt><M></tt> is an monoid ideal g...) |
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NCo.IsFinite(X, M); | NCo.IsFinite(X, M); | ||
| − | + | False | |
------------------------------- | ------------------------------- | ||
X:="xy"; | X:="xy"; | ||
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NCo.IsFinite(X, M); | NCo.IsFinite(X, M); | ||
| − | + | True | |
------------------------------- | ------------------------------- | ||
</example> | </example> | ||
Revision as of 19:18, 6 June 2013
NCo.IsFinite
Check whether the K-dimension dim(K<X>/<M>) is finite, where <M> is an monoid ideal generated by a finite set M of words.
Syntax
NCo.IsFinite(X:STRING, M:LIST):BOOL
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.
@param X: alphabet (or set of indeterminates) generating the free associative K-algebra K<X>. It is of STRING type.
@param M: a LIST of words (or terms) in K<X> which generates the monoid ideal <M>. Each word is represented as a STRING. For example, xy^2x is represented as "xyyx", and the identity is represented as the empty string "".
@return: a BOOL value which is True if K-vector space K<X>/<M> is finite and False otherwise.
Example
X:="xy"; M:=["xxx","yxy","xyx"]; NCo.IsFinite(X, M); False ------------------------------- X:="xy"; M:=["xxx","yxy","xyx","yyx","yyy"]; NCo.IsFinite(X, M); True -------------------------------
See also
