ApCoCoA-1:NCo.SetRelations
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NCo.SetRelations
Set relations for a finitely presented monoid ring.
Syntax
NCo.SetRelations(R:LIST)
Description
Before calling the function, please set ring environment alphabet (or set of indeterminates) X through the functions NCo.SetX. For more information, please check the relevant functions.
@param R: a finite set of relations. It is of LIST type. Each element in Relations is of the form [W1, W2], where W1 and W2 are words in <X>. Each word is represented as a STRING. For example, the word xy^2x is represented as "xyyx", and the identity is represented as the empty string "". Thus, the relation (yx, xy) is represented as ["yx", "xy"], and the set of relations {(yx, xy),(zx,xz),(zy,yz)} is represented as [["yx", "xy"],["zx", "xz"],["zy", "yz"]].
Example
NCo.RingEnv();
Coefficient ring : Q
Ordering : LLEX
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NCo.SetX(<quotes>abc</quotes>);
R:=[[<quotes>ba</quotes>,<quotes>ab</quotes>], [<quotes>ca</quotes>,<quotes>ac</quotes>], [<quotes>cb</quotes>,<quotes>bc</quotes>]]; --ba=ab, ca=ac, cb=bc
NCo.SetRelations(R);
NCo.RingEnv();
Coefficient ring : Q
Alphabet : abc
Ordering : LLEX
Relations : [[<quotes>ba</quotes>, <quotes>ab</quotes>], [<quotes>ca</quotes>, <quotes>ac</quotes>], [<quotes>cb</quotes>, <quotes>bc</quotes>]] -- relations generated by {ba=ab, ca=ac, cb=bc}
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See also
