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Difference between revisions of "Associator"

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''of three elements <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/a/a013/a013530/a0135301.png" /> of a ring <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/a/a013/a013530/a0135302.png" />''
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''of three elements $a,b,c$ of a ring $R$''
  
 
The element equal to
 
The element equal to
  
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<table class="eq" style="width:100%;"> <tr><td valign="top" style="width:94%;text-align:center;"><img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/a/a013/a013530/a0135303.png" /></td> </tr></table>
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$$(ab)c-a(bc).$$
  
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It is denoted by <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/a/a013/a013530/a0135304.png" />.
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It is denoted by $(a,b,c)$.

Latest revision as of 13:41, 10 April 2014

of three elements $a,b,c$ of a ring $R$

The element equal to

$$(ab)c-a(bc).$$

It is denoted by $(a,b,c)$.

How to Cite This Entry:
Associator. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Associator&oldid=31482
This article was adapted from an original article by K.A. Zhevlakov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article
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