category-theory-presentation/categories/20_What/180_Degenerated_Categories_Monoids.html
2013-02-28 16:49:12 +01:00

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<h2>Degenerated Categories: Monoids</h2>
<img class="right" style="max-width:17%" src="categories/img/mp/monoid.png" alt="Monoids are one object categories"/>
<p>Each Monoid \((M,e,⊙): \ob{M}=\{∙\},\hom{M}=M,\circ = ⊙\)</p>
<p class="yellow">Only one object.</p>
<p>Examples:</p>
<ul><li><code>(Integer,0,+)</code>, <code>(Integer,1,*)</code>,
</li><li><code>(Strings,"",++)</code>, for each <code>a</code>, <code>([a],[],++)</code>
</li></ul>