Amitsur–Levitzki theorem
states that the algebra of n by n matrices satisfies a certain identity of degree 2n
| rdfs:label |
"Amitsur–Levitzki theorem"@en
|
| schema:description |
"states that the algebra of n by n matrices satisfies a certain identity of degree 2n"@en
|
|
schema:date |
"2026-09-06T17:42:05+00:00"^^xsd:dateTime |
| schema:version | 2541224183 |
| wikibase:identifiers | 1 |
| wikibase:sitelinks | 4 |
| wikibase:statements | 7 |
| p:P138 | wd:statement/Q4746948-a982111c-40b0-fcb6-279e-16ab7db70c60 |
| wd:statement/Q4746948-f5368ec3-43ca-f181-e072-0041b5467b95 | |
| p:P2534 | wd:statement/Q4746948-0D9EB310-D512-4C22-9B0A-4B0B05316A7E |
| p:P31 | wd:statement/Q4746948-ED3B647A-0575-46D3-A27B-59955DF5FEA4 |
| p:P361 | wd:statement/Q4746948-8CCDF06B-2DA6-4D25-A5A9-0A0EF6EC8FA4 |
| p:P6104 | wd:statement/Q4746948-489C2588-B405-4249-B240-0B5CD7A5F441 |
| p:P646 | wd:statement/Q4746948-C58C1920-6718-462E-9576-AF00006CD0B1 |
| wdt:P138 | Jacob Levitzki |
| Shimshon Amitsur | |
| wdt:P2534 | "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub><mo stretchy="false">(</mo><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo>,</mo><mo stretchy="false">…</mo><mo>,</mo><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub><mo stretchy="false">)</mo><mo stretchy="false">=</mo><munder><mo stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>σ</mi><mo stretchy="false">∈</mo><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub></mrow></mrow></munder><mrow data-mjx-texclass="ORD"><mtext>sgn</mtext></mrow><mo stretchy="false">(</mo><mi>σ</mi><mo stretchy="false">)</mo><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>σ</mi><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">)</mo></mrow></mrow></msub><mo stretchy="false">⋯</mo><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>σ</mi><mo stretchy="false">(</mo><mi>n</mi><mo stretchy="false">)</mo></mrow></mrow></msub></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML |
| wdt:P31 | theorem |
| wdt:P361 | list of theorems |
| wdt:P6104 | WikiProject Mathematics |
| wdt:P646 | "/m/0g5r1jp" |
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