Jump to navigation Jump to search

General

Display information for equation id:math.235672.10 on revision:235672

* Page found: Semisimple module (eq math.235672.10)

(force rerendering)

Cannot find the equation data in the database. Fetching from revision text.

Occurrences on the following pages:

Hash: 99b0ce850e6c7014fb6a4bb01787e355

TeX (original user input):

M_n(D_1) \times M_n(D_2) \times \dots \times M_n(D_r)

TeX (checked):

M_{n}(D_{1})\times M_{n}(D_{2})\times \dots \times M_{n}(D_{r})

LaTeXML (experimental; uses MathML) rendering

MathML (6.526 KB / 1.034 KB) :

M n ( D 1 ) × M n ( D 2 ) × × M n ( D r ) subscript 𝑀 𝑛 subscript 𝐷 1 subscript 𝑀 𝑛 subscript 𝐷 2 subscript 𝑀 𝑛 subscript 𝐷 𝑟 {\displaystyle M_{n}(D_{1})\times M_{n}(D_{2})\times\dots\times M_{n}(D_{r})}
<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle M_{n}(D_{1})\times M_{n}(D_{2})\times\dots\times M_{n}(D_{r})}" display="inline">
  <semantics id="p1.1.m1.1a">
    <mrow id="p1.1.m1.1.23" xref="p1.1.m1.1.23.cmml">
      <mrow id="p1.1.m1.1.23.2" xref="p1.1.m1.1.23.2.cmml">
        <mrow id="p1.1.m1.1.23.2.1" xref="p1.1.m1.1.23.2.1.cmml">
          <mrow id="p1.1.m1.1.23.2.1.2" xref="p1.1.m1.1.23.2.1.2.cmml">
            <mrow id="p1.1.m1.1.23.2.1.2.1" xref="p1.1.m1.1.23.2.1.2.1.cmml">
              <msub id="p1.1.m1.1.23.2.1.2.1.2" xref="p1.1.m1.1.23.2.1.2.1.2.cmml">
                <mi id="p1.1.m1.1.1" xref="p1.1.m1.1.1.cmml">M</mi>
                <mi id="p1.1.m1.1.2.1" xref="p1.1.m1.1.2.1.cmml">n</mi>
              </msub>
              <mo id="p1.1.m1.1.23.2.1.2.1.1" xref="p1.1.m1.1.23.2.1.2.1.1.cmml"></mo>
              <mrow id="p1.1.m1.1.23.2.1.2.1.3" xref="p1.1.m1.1.23.2.1.2.1.3.2.cmml">
                <mo stretchy="false" id="p1.1.m1.1.3" xref="p1.1.m1.1.23.2.1.2.1.3.2.cmml">(</mo>
                <msub id="p1.1.m1.1.23.2.1.2.1.3.2" xref="p1.1.m1.1.23.2.1.2.1.3.2.cmml">
                  <mi id="p1.1.m1.1.4" xref="p1.1.m1.1.4.cmml">D</mi>
                  <mn id="p1.1.m1.1.5.1" xref="p1.1.m1.1.5.1.cmml">1</mn>
                </msub>
                <mo stretchy="false" id="p1.1.m1.1.6" xref="p1.1.m1.1.23.2.1.2.1.3.2.cmml">)</mo>
              </mrow>
            </mrow>
            <mo id="p1.1.m1.1.7" xref="p1.1.m1.1.7.cmml">×</mo>
            <msub id="p1.1.m1.1.23.2.1.2.2" xref="p1.1.m1.1.23.2.1.2.2.cmml">
              <mi id="p1.1.m1.1.8" xref="p1.1.m1.1.8.cmml">M</mi>
              <mi id="p1.1.m1.1.9.1" xref="p1.1.m1.1.9.1.cmml">n</mi>
            </msub>
          </mrow>
          <mo id="p1.1.m1.1.23.2.1.1" xref="p1.1.m1.1.23.2.1.1.cmml"></mo>
          <mrow id="p1.1.m1.1.23.2.1.3" xref="p1.1.m1.1.23.2.1.3.2.cmml">
            <mo stretchy="false" id="p1.1.m1.1.10" xref="p1.1.m1.1.23.2.1.3.2.cmml">(</mo>
            <msub id="p1.1.m1.1.23.2.1.3.2" xref="p1.1.m1.1.23.2.1.3.2.cmml">
              <mi id="p1.1.m1.1.11" xref="p1.1.m1.1.11.cmml">D</mi>
              <mn id="p1.1.m1.1.12.1" xref="p1.1.m1.1.12.1.cmml">2</mn>
            </msub>
            <mo stretchy="false" id="p1.1.m1.1.13" xref="p1.1.m1.1.23.2.1.3.2.cmml">)</mo>
          </mrow>
        </mrow>
        <mo id="p1.1.m1.1.16" xref="p1.1.m1.1.16.cmml">×</mo>
        <mi mathvariant="normal" id="p1.1.m1.1.15" xref="p1.1.m1.1.15.cmml"></mi>
        <mo id="p1.1.m1.1.16a" xref="p1.1.m1.1.16.cmml">×</mo>
        <msub id="p1.1.m1.1.23.2.2" xref="p1.1.m1.1.23.2.2.cmml">
          <mi id="p1.1.m1.1.17" xref="p1.1.m1.1.17.cmml">M</mi>
          <mi id="p1.1.m1.1.18.1" xref="p1.1.m1.1.18.1.cmml">n</mi>
        </msub>
      </mrow>
      <mo id="p1.1.m1.1.23.1" xref="p1.1.m1.1.23.1.cmml"></mo>
      <mrow id="p1.1.m1.1.23.3" xref="p1.1.m1.1.23.3.2.cmml">
        <mo stretchy="false" id="p1.1.m1.1.19" xref="p1.1.m1.1.23.3.2.cmml">(</mo>
        <msub id="p1.1.m1.1.23.3.2" xref="p1.1.m1.1.23.3.2.cmml">
          <mi id="p1.1.m1.1.20" xref="p1.1.m1.1.20.cmml">D</mi>
          <mi id="p1.1.m1.1.21.1" xref="p1.1.m1.1.21.1.cmml">r</mi>
        </msub>
        <mo stretchy="false" id="p1.1.m1.1.22" xref="p1.1.m1.1.23.3.2.cmml">)</mo>
      </mrow>
    </mrow>
    <annotation-xml encoding="MathML-Content" id="p1.1.m1.1b">
      <apply id="p1.1.m1.1.23.cmml" xref="p1.1.m1.1.23">
        <times id="p1.1.m1.1.23.1.cmml" xref="p1.1.m1.1.23.1"/>
        <apply id="p1.1.m1.1.23.2.cmml" xref="p1.1.m1.1.23.2">
          <times id="p1.1.m1.1.16.cmml" xref="p1.1.m1.1.16"/>
          <apply id="p1.1.m1.1.23.2.1.cmml" xref="p1.1.m1.1.23.2.1">
            <times id="p1.1.m1.1.23.2.1.1.cmml" xref="p1.1.m1.1.23.2.1.1"/>
            <apply id="p1.1.m1.1.23.2.1.2.cmml" xref="p1.1.m1.1.23.2.1.2">
              <times id="p1.1.m1.1.7.cmml" xref="p1.1.m1.1.7"/>
              <apply id="p1.1.m1.1.23.2.1.2.1.cmml" xref="p1.1.m1.1.23.2.1.2.1">
                <times id="p1.1.m1.1.23.2.1.2.1.1.cmml" xref="p1.1.m1.1.23.2.1.2.1.1"/>
                <apply id="p1.1.m1.1.23.2.1.2.1.2.cmml" xref="p1.1.m1.1.23.2.1.2.1.2">
                  <csymbol cd="ambiguous" id="p1.1.m1.1.23.2.1.2.1.2.1.cmml" xref="p1.1.m1.1.23.2.1.2.1.2">subscript</csymbol>
                  <ci id="p1.1.m1.1.1.cmml" xref="p1.1.m1.1.1">𝑀</ci>
                  <ci id="p1.1.m1.1.2.1.cmml" xref="p1.1.m1.1.2.1">𝑛</ci>
                </apply>
                <apply id="p1.1.m1.1.23.2.1.2.1.3.2.cmml" xref="p1.1.m1.1.23.2.1.2.1.3">
                  <csymbol cd="ambiguous" id="p1.1.m1.1.23.2.1.2.1.3.2.1.cmml" xref="p1.1.m1.1.23.2.1.2.1.3">subscript</csymbol>
                  <ci id="p1.1.m1.1.4.cmml" xref="p1.1.m1.1.4">𝐷</ci>
                  <cn type="integer" id="p1.1.m1.1.5.1.cmml" xref="p1.1.m1.1.5.1">1</cn>
                </apply>
              </apply>
              <apply id="p1.1.m1.1.23.2.1.2.2.cmml" xref="p1.1.m1.1.23.2.1.2.2">
                <csymbol cd="ambiguous" id="p1.1.m1.1.23.2.1.2.2.1.cmml" xref="p1.1.m1.1.23.2.1.2.2">subscript</csymbol>
                <ci id="p1.1.m1.1.8.cmml" xref="p1.1.m1.1.8">𝑀</ci>
                <ci id="p1.1.m1.1.9.1.cmml" xref="p1.1.m1.1.9.1">𝑛</ci>
              </apply>
            </apply>
            <apply id="p1.1.m1.1.23.2.1.3.2.cmml" xref="p1.1.m1.1.23.2.1.3">
              <csymbol cd="ambiguous" id="p1.1.m1.1.23.2.1.3.2.1.cmml" xref="p1.1.m1.1.23.2.1.3">subscript</csymbol>
              <ci id="p1.1.m1.1.11.cmml" xref="p1.1.m1.1.11">𝐷</ci>
              <cn type="integer" id="p1.1.m1.1.12.1.cmml" xref="p1.1.m1.1.12.1">2</cn>
            </apply>
          </apply>
          <ci id="p1.1.m1.1.15.cmml" xref="p1.1.m1.1.15"></ci>
          <apply id="p1.1.m1.1.23.2.2.cmml" xref="p1.1.m1.1.23.2.2">
            <csymbol cd="ambiguous" id="p1.1.m1.1.23.2.2.1.cmml" xref="p1.1.m1.1.23.2.2">subscript</csymbol>
            <ci id="p1.1.m1.1.17.cmml" xref="p1.1.m1.1.17">𝑀</ci>
            <ci id="p1.1.m1.1.18.1.cmml" xref="p1.1.m1.1.18.1">𝑛</ci>
          </apply>
        </apply>
        <apply id="p1.1.m1.1.23.3.2.cmml" xref="p1.1.m1.1.23.3">
          <csymbol cd="ambiguous" id="p1.1.m1.1.23.3.2.1.cmml" xref="p1.1.m1.1.23.3">subscript</csymbol>
          <ci id="p1.1.m1.1.20.cmml" xref="p1.1.m1.1.20">𝐷</ci>
          <ci id="p1.1.m1.1.21.1.cmml" xref="p1.1.m1.1.21.1">𝑟</ci>
        </apply>
      </apply>
    </annotation-xml>
    <annotation encoding="application/x-tex" id="p1.1.m1.1c">{\displaystyle M_{n}(D_{1})\times M_{n}(D_{2})\times\dots\times M_{n}(D_{r})}</annotation>
  </semantics>
</math>

SVG (9.223 KB / 3.019 KB) :

upper M Subscript n Baseline times left-parenthesis upper D 1 right-parenthesis times upper M Subscript n Baseline times left-parenthesis upper D 2 right-parenthesis times ellipsis times upper M Subscript n Baseline times left-parenthesis upper D Subscript r Baseline right-parenthesis

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

MathML (1.575 KB / 379 B) :

M n ( D 1 ) × M n ( D 2 ) × × M n ( D r ) {\displaystyle M_{n}(D_{1})\times M_{n}(D_{2})\times \dots \times M_{n}(D_{r})}
<math xmlns="http://www.w3.org/1998/Math/MathML" display="block" alttext="{\displaystyle M_{n}(D_{1})\times M_{n}(D_{2})\times \dots \times M_{n}(D_{r})}">
  <semantics>
    <mrow class="MJX-TeXAtom-ORD">
      <mstyle displaystyle="true" scriptlevel="0">
        <msub>
          <mi>M</mi>
          <mrow class="MJX-TeXAtom-ORD">
            <mi>n</mi>
          </mrow>
        </msub>
        <mo stretchy="false">(</mo>
        <msub>
          <mi>D</mi>
          <mrow class="MJX-TeXAtom-ORD">
            <mn>1</mn>
          </mrow>
        </msub>
        <mo stretchy="false">)</mo>
        <mo>&#x00D7;<!-- × --></mo>
        <msub>
          <mi>M</mi>
          <mrow class="MJX-TeXAtom-ORD">
            <mi>n</mi>
          </mrow>
        </msub>
        <mo stretchy="false">(</mo>
        <msub>
          <mi>D</mi>
          <mrow class="MJX-TeXAtom-ORD">
            <mn>2</mn>
          </mrow>
        </msub>
        <mo stretchy="false">)</mo>
        <mo>&#x00D7;<!-- × --></mo>
        <mo>&#x22EF;<!-- ⋯ --></mo>
        <mo>&#x00D7;<!-- × --></mo>
        <msub>
          <mi>M</mi>
          <mrow class="MJX-TeXAtom-ORD">
            <mi>n</mi>
          </mrow>
        </msub>
        <mo stretchy="false">(</mo>
        <msub>
          <mi>D</mi>
          <mrow class="MJX-TeXAtom-ORD">
            <mi>r</mi>
          </mrow>
        </msub>
        <mo stretchy="false">)</mo>
      </mstyle>
    </mrow>
    <annotation encoding="application/x-tex">{\displaystyle M_{n}(D_{1})\times M_{n}(D_{2})\times \dots \times M_{n}(D_{r})}</annotation>
  </semantics>
</math>

SVG (6.757 KB / 2.75 KB) :

{\displaystyle M_{n}(D_{1})\times M_{n}(D_{2})\times \dots \times M_{n}(D_{r})}

PNG (0 B / 8 B) :


Translations to Computer Algebra Systems

Translation to Maple

In Maple:

Translation to Mathematica

In Mathematica:

Similar pages

Calculated based on the variables occurring on the entire Semisimple module page

Identifiers

MathML observations

0results

0results

no statistics present please run the maintenance script ExtractFeatures.php

0 results

0 results