Unipotent magma: Difference between revisions

Latest revision as of 11:38, 27 September 2014

This article defines a property that can be evaluated for a magma, and is invariant under isomorphisms of magmas.
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A unipotent magma is defined as a magma $(S,*)$ with an element $e$ such that $x*x=e$ for all $x\in S$ .

Thus it is a magma with one single idempotent element. Such an element $e$ is called middle neutral element.

Revision as of 11:49, 8 July 2014 (view source) CJKG (talk \| contribs) (Created page with "{{magma property}} ==Definition== A '''unipotent magma''' is defined as a magma <math>(S,)</math> with an element <math>e</math> such that <math>x x = e</math> for all <m...")		Latest revision as of 11:38, 27 September 2014 (view source) CJKG (talk \| contribs) No edit summary
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	A '''unipotent magma''' is defined as a magma <math>(S,)</math> with an element <math>e</math> such that <math>x x = e</math> for all <math>x \in S</math>.		A '''unipotent magma''' is defined as a magma <math>(S,)</math> with an element <math>e</math> such that <math>x x = e</math> for all <math>x \in S</math>.

	Thus it is a magma with one single idempotent element. Such an element <math>e</math> is called [[~~neutral element~~\|middle neutral element]].		Thus it is a magma with one single idempotent element. Such an element <math>e</math> is called [[middle identity\|middle neutral element]].