[Home]Semigroups of size 3

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<ms:structure name="Size3_Semigroup_1" size="3">
  <ms:element id="0" x="0" y="0"/>
  <ms:element id="1" x="1" y="0"/>
  <ms:element id="2" x="2" y="0"/>
  <ms:operation name="product" arity="2" type="table">
    <ms:row id="0" v="0 0 0"/>
    <ms:row id="1" v="0 0 0"/>
    <ms:row id="2" v="0 0 0"/>
  </ms:operation>
</ms:structure>

<ms:structure name="Size3_Semigroup_2" size="3">
  <ms:element id="0" x="0" y="0"/>
  <ms:element id="1" x="1" y="0"/>
  <ms:element id="2" x="2" y="0"/>
  <ms:operation name="product" arity="2" type="table">
    <ms:row id="0" v="0 0 0"/>
    <ms:row id="1" v="0 0 0"/>
    <ms:row id="2" v="0 0 1"/>
  </ms:operation>
</ms:structure>

<ms:structure name="Size3_Semigroup_3" size="3">
  <ms:element id="0" x="0" y="0"/>
  <ms:element id="1" x="1" y="0"/>
  <ms:element id="2" x="2" y="0"/>
  <ms:operation name="product" arity="2" type="table">
    <ms:row id="0" v="0 0 0"/>
    <ms:row id="1" v="0 0 0"/>
    <ms:row id="2" v="0 0 2"/>
  </ms:operation>
</ms:structure>

<ms:structure name="Size3_Semigroup_4" size="3">
  <ms:element id="0" x="0" y="0"/>
  <ms:element id="1" x="1" y="0"/>
  <ms:element id="2" x="2" y="0"/>
  <ms:operation name="product" arity="2" type="table">
    <ms:row id="0" v="0 0 0"/>
    <ms:row id="1" v="0 0 0"/>
    <ms:row id="2" v="0 1 2"/>
  </ms:operation>
</ms:structure>

<ms:structure name="Size3_Semigroup_5" size="3">
  <ms:element id="0" x="0" y="0"/>
  <ms:element id="1" x="1" y="0"/>
  <ms:element id="2" x="2" y="0"/>
  <ms:operation name="product" arity="2" type="table">
    <ms:row id="0" v="0 0 0"/>
    <ms:row id="1" v="0 0 0"/>
    <ms:row id="2" v="2 2 2"/>
  </ms:operation>
</ms:structure>

<ms:structure name="Size3_Semigroup_6" size="3">
  <ms:element id="0" x="0" y="0"/>
  <ms:element id="1" x="1" y="0"/>
  <ms:element id="2" x="2" y="0"/>
  <ms:operation name="product" arity="2" type="table">
    <ms:row id="0" v="0 0 0"/>
    <ms:row id="1" v="0 0 1"/>
    <ms:row id="2" v="0 0 2"/>
  </ms:operation>
</ms:structure>

<ms:structure name="Size3_Semigroup_7" size="3">
  <ms:element id="0" x="0" y="0"/>
  <ms:element id="1" x="1" y="0"/>
  <ms:element id="2" x="2" y="0"/>
  <ms:operation name="product" arity="2" type="table">
    <ms:row id="0" v="0 0 0"/>
    <ms:row id="1" v="0 0 1"/>
    <ms:row id="2" v="0 1 2"/>
  </ms:operation>
</ms:structure>

<ms:structure name="Size3_Semigroup_8" size="3">
  <ms:element id="0" x="0" y="0"/>
  <ms:element id="1" x="1" y="0"/>
  <ms:element id="2" x="2" y="0"/>
  <ms:operation name="product" arity="2" type="table">
    <ms:row id="0" v="0 0 0"/>
    <ms:row id="1" v="0 1 0"/>
    <ms:row id="2" v="0 0 2"/>
  </ms:operation>
</ms:structure>

<ms:structure name="Size3_Semigroup_9" size="3">
  <ms:element id="0" x="0" y="0"/>
  <ms:element id="1" x="1" y="0"/>
  <ms:element id="2" x="2" y="0"/>
  <ms:operation name="product" arity="2" type="table">
    <ms:row id="0" v="0 0 0"/>
    <ms:row id="1" v="0 1 0"/>
    <ms:row id="2" v="2 2 2"/>
  </ms:operation>
</ms:structure>

<ms:structure name="Size3_Semigroup_10" size="3">
  <ms:element id="0" x="0" y="0"/>
  <ms:element id="1" x="1" y="0"/>
  <ms:element id="2" x="2" y="0"/>
  <ms:operation name="product" arity="2" type="table">
    <ms:row id="0" v="0 0 0"/>
    <ms:row id="1" v="0 1 1"/>
    <ms:row id="2" v="0 1 1"/>
  </ms:operation>
</ms:structure>

<ms:structure name="Size3_Semigroup_11" size="3">
  <ms:element id="0" x="0" y="0"/>
  <ms:element id="1" x="1" y="0"/>
  <ms:element id="2" x="2" y="0"/>
  <ms:operation name="product" arity="2" type="table">
    <ms:row id="0" v="0 0 0"/>
    <ms:row id="1" v="0 1 1"/>
    <ms:row id="2" v="0 1 2"/>
  </ms:operation>
</ms:structure>

<ms:structure name="Size3_Semigroup_12" size="3">
  <ms:element id="0" x="0" y="0"/>
  <ms:element id="1" x="1" y="0"/>
  <ms:element id="2" x="2" y="0"/>
  <ms:operation name="product" arity="2" type="table">
    <ms:row id="0" v="0 0 0"/>
    <ms:row id="1" v="0 1 1"/>
    <ms:row id="2" v="0 2 2"/>
  </ms:operation>
</ms:structure>

<ms:structure name="Size3_Semigroup_13" size="3">
  <ms:element id="0" x="0" y="0"/>
  <ms:element id="1" x="1" y="0"/>
  <ms:element id="2" x="2" y="0"/>
  <ms:operation name="product" arity="2" type="table">
    <ms:row id="0" v="0 0 0"/>
    <ms:row id="1" v="0 1 2"/>
    <ms:row id="2" v="0 1 2"/>
  </ms:operation>
</ms:structure>

<ms:structure name="Size3_Semigroup_14" size="3">
  <ms:element id="0" x="0" y="0"/>
  <ms:element id="1" x="1" y="0"/>
  <ms:element id="2" x="2" y="0"/>
  <ms:operation name="product" arity="2" type="table">
    <ms:row id="0" v="0 0 0"/>
    <ms:row id="1" v="0 1 2"/>
    <ms:row id="2" v="0 2 1"/>
  </ms:operation>
</ms:structure>

<ms:structure name="Size3_Semigroup_15" size="3">
  <ms:element id="0" x="0" y="0"/>
  <ms:element id="1" x="1" y="0"/>
  <ms:element id="2" x="2" y="0"/>
  <ms:operation name="product" arity="2" type="table">
    <ms:row id="0" v="0 0 0"/>
    <ms:row id="1" v="0 1 2"/>
    <ms:row id="2" v="2 2 2"/>
  </ms:operation>
</ms:structure>

<ms:structure name="Size3_Semigroup_16" size="3">
  <ms:element id="0" x="0" y="0"/>
  <ms:element id="1" x="1" y="0"/>
  <ms:element id="2" x="2" y="0"/>
  <ms:operation name="product" arity="2" type="table">
    <ms:row id="0" v="0 0 0"/>
    <ms:row id="1" v="1 1 1"/>
    <ms:row id="2" v="2 2 2"/>
  </ms:operation>
</ms:structure>

<ms:structure name="Size3_Semigroup_17" size="3">
  <ms:element id="0" x="0" y="0"/>
  <ms:element id="1" x="1" y="0"/>
  <ms:element id="2" x="2" y="0"/>
  <ms:operation name="product" arity="2" type="table">
    <ms:row id="0" v="0 0 2"/>
    <ms:row id="1" v="0 0 2"/>
    <ms:row id="2" v="0 0 2"/>
  </ms:operation>
</ms:structure>

<ms:structure name="Size3_Semigroup_18" size="3">
  <ms:element id="0" x="0" y="0"/>
  <ms:element id="1" x="1" y="0"/>
  <ms:element id="2" x="2" y="0"/>
  <ms:operation name="product" arity="2" type="table">
    <ms:row id="0" v="0 0 2"/>
    <ms:row id="1" v="0 0 2"/>
    <ms:row id="2" v="2 2 0"/>
  </ms:operation>
</ms:structure>

<ms:structure name="Size3_Semigroup_19" size="3">
  <ms:element id="0" x="0" y="0"/>
  <ms:element id="1" x="1" y="0"/>
  <ms:element id="2" x="2" y="0"/>
  <ms:operation name="product" arity="2" type="table">
    <ms:row id="0" v="0 0 2"/>
    <ms:row id="1" v="0 1 2"/>
    <ms:row id="2" v="0 0 2"/>
  </ms:operation>
</ms:structure>

<ms:structure name="Size3_Semigroup_20" size="3">
  <ms:element id="0" x="0" y="0"/>
  <ms:element id="1" x="1" y="0"/>
  <ms:element id="2" x="2" y="0"/>
  <ms:operation name="product" arity="2" type="table">
    <ms:row id="0" v="0 0 2"/>
    <ms:row id="1" v="0 1 2"/>
    <ms:row id="2" v="0 2 2"/>
  </ms:operation>
</ms:structure>

<ms:structure name="Size3_Semigroup_21" size="3">
  <ms:element id="0" x="0" y="0"/>
  <ms:element id="1" x="1" y="0"/>
  <ms:element id="2" x="2" y="0"/>
  <ms:operation name="product" arity="2" type="table">
    <ms:row id="0" v="0 0 2"/>
    <ms:row id="1" v="0 1 2"/>
    <ms:row id="2" v="2 2 0"/>
  </ms:operation>
</ms:structure>

<ms:structure name="Size3_Semigroup_22" size="3">
  <ms:element id="0" x="0" y="0"/>
  <ms:element id="1" x="1" y="0"/>
  <ms:element id="2" x="2" y="0"/>
  <ms:operation name="product" arity="2" type="table">
    <ms:row id="0" v="0 1 1"/>
    <ms:row id="1" v="1 0 0"/>
    <ms:row id="2" v="1 0 0"/>
  </ms:operation>
</ms:structure>

<ms:structure name="Size3_Semigroup_23" size="3">
  <ms:element id="0" x="0" y="0"/>
  <ms:element id="1" x="1" y="0"/>
  <ms:element id="2" x="2" y="0"/>
  <ms:operation name="product" arity="2" type="table">
    <ms:row id="0" v="0 1 2"/>
    <ms:row id="1" v="0 1 2"/>
    <ms:row id="2" v="0 1 2"/>
  </ms:operation>
</ms:structure>

<ms:structure name="Size3_Semigroup_24" size="3">
  <ms:element id="0" x="0" y="0"/>
  <ms:element id="1" x="1" y="0"/>
  <ms:element id="2" x="2" y="0"/>
  <ms:operation name="product" arity="2" type="table">
    <ms:row id="0" v="0 1 2"/>
    <ms:row id="1" v="1 2 0"/>
    <ms:row id="2" v="2 0 1"/>
  </ms:operation>
</ms:structure>
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Last edited March 24, 2003 9:07 pm (diff)
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