Difference between revisions of "Associative"
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Latest revision as of 07:44, 27 April 2015
Definition
An operator is associative[1] if:
- [math](xy)z=x(yz)[/math] where [ilmath]xy[/ilmath] denotes the operator acting on [ilmath]x[/ilmath] and [ilmath]y[/ilmath]
In fact given a function [ilmath]\times:S\times S\rightarrow S[/ilmath] we even call the image of [ilmath](x,y)[/ilmath] under [ilmath]\times[/ilmath] the product (or indeed the sum if we're using additive notation)
References
- ↑ Algebra - Serge Lang - Revised Third Edition - GTM
