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NC.IsFinite

Check whether a K-algebra R/ has finite K-dimension.
Syntax
          
NC.IsFinite(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.

Please set non-commutative polynomial ring (via the command Use) before calling this function. For more information, please check the relevant commands and functions.

Example
Use ZZ/(2)[x[1..3]];
M:=[[x[3]^3], [x[1], x[2]], [x[2]^2], [x[1]^2], [x[2], x[3], x[1]], 
[x[1], x[3], x[1]], [x[1], x[3]^2], [x[2], x[3], x[2], x[3]], [x[1], 
x[3], x[2], x[3]]];
NC.IsFinite(M);

False
-------------------------------
The output at the ApCoCoAServer is as follows. 
Found 2 cycles:
[3,2,1]  [2,1,3]  [1,3,2]  
[3,3,2]  [3,2,3]  [2,3,3]  
The group has polynomial growth of at most degree 2.



See Also