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Display information for equation id:math.222245.12 on revision:222245

* Page found: Isomorphism theorem (eq math.222245.12)

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Occurrences on the following pages:

Hash: 007f7cfb6c836265f0ee259f9795c82e

TeX (original user input): 

0 \rightarrow G / \ker\, f \rightarrow H \rightarrow \operatorname{coker}\, f \rightarrow 0

TeX (checked): 

0\rightarrow G/\ker \,f\rightarrow H\rightarrow \operatorname {coker} \,f\rightarrow 0

LaTeXML (experimental; uses MathML) rendering

MathML (3.75 KB / 813 B) :

0 → G / ker ⁡ f → H → coker ⁡ f → 0 → 0 𝐺 kernel 𝑓 → 𝐻 → coker 𝑓 → 0 {\displaystyle 0\rightarrow G/\ker\,f\rightarrow H\rightarrow\operatorname{% coker}\,f\rightarrow 0} 
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        <mi id="p1.1.m1.1.3" xref="p1.1.m1.1.3.cmml">G</mi>
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          <mi id="p1.1.m1.1.15a" xref="p1.1.m1.1.15.cmml">coker</mi>
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          <ci id="p1.1.m1.1.9.cmml" xref="p1.1.m1.1.9">𝐻</ci>
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    <annotation encoding="application/x-tex" id="p1.1.m1.1c">{\displaystyle 0\rightarrow G/\ker\,f\rightarrow H\rightarrow\operatorname{%
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</math>

SVG (8.668 KB / 3.456 KB) :

0 right-arrow upper G slash kernel f right-arrow upper H right-arrow c o k e r f right-arrow 0

SVG with PNG fallback (MathML can be enabled via browser plugin) rendering

MathML (1.002 KB / 367 B) :

0 → G / ker f → H → coker f → 0 {\displaystyle 0\rightarrow G/\ker \,f\rightarrow H\rightarrow \operatorname {coker} \,f\rightarrow 0} 
<math xmlns="http://www.w3.org/1998/Math/MathML" display="block" alttext="{\displaystyle 0\rightarrow G/\ker \,f\rightarrow H\rightarrow \operatorname {coker} \,f\rightarrow 0}">
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    <mrow class="MJX-TeXAtom-ORD">
      <mstyle displaystyle="true" scriptlevel="0">
        <mn>0</mn>
        <mo stretchy="false">&#x2192;<!-- → --></mo>
        <mi>G</mi>
        <mrow class="MJX-TeXAtom-ORD">
          <mo>/</mo>
        </mrow>
        <mi>ker</mi>
        <mspace width="thinmathspace" />
        <mi>f</mi>
        <mo stretchy="false">&#x2192;<!-- → --></mo>
        <mi>H</mi>
        <mo stretchy="false">&#x2192;<!-- → --></mo>
        <mi>coker</mi>
        <mspace width="thinmathspace" />
        <mi>f</mi>
        <mo stretchy="false">&#x2192;<!-- → --></mo>
        <mn>0</mn>
      </mstyle>
    </mrow>
    <annotation encoding="application/x-tex">{\displaystyle 0\rightarrow G/\ker \,f\rightarrow H\rightarrow \operatorname {coker} \,f\rightarrow 0}</annotation>
  </semantics>
</math>

SVG (7.504 KB / 3.286 KB) :

{\displaystyle 0\rightarrow G/\ker \,f\rightarrow H\rightarrow \operatorname {coker} \,f\rightarrow 0}

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