Amitsur–Levitzki theorem

states that the algebra of n by n matrices satisfies a certain identity of degree 2n
Intangible theorem Q4746948
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Amitsur–Levitzki theorem

Summary

Amitsur–Levitzki theorem is a theorem[1].

Key Facts

  • Amitsur–Levitzki theorem's instance of is recorded as theorem[2].
  • Shimshon Amitsur is named after Amitsur–Levitzki theorem[3].
  • Jacob Levitzki is named after Amitsur–Levitzki theorem[4].
  • Amitsur–Levitzki theorem's part of is recorded as list of theorems[5].
  • Amitsur–Levitzki theorem's Freebase ID is recorded as /m/0g5r1jp[6].
  • Amitsur–Levitzki theorem's defining formula is recorded as S_n(x_1,\ldots,x_n) = \sum_{\sigma\in S_{n}}\text{sgn}(\sigma)x_{\sigma(1)}\cdots x_{\sigma(n)}[7].
  • Amitsur–Levitzki theorem's maintained by WikiProject is recorded as WikiProject Mathematics[8].

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APA 4ort.xyz Knowledge Graph. (2026). Amitsur–Levitzki theorem. Retrieved May 3, 2026, from https://4ort.xyz/entity/amitsur-levitzki-theorem
MLA “Amitsur–Levitzki theorem.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/amitsur-levitzki-theorem.
BibTeX @misc{4ortxyz_amitsur-levitzki-theorem_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Amitsur–Levitzki theorem}}, year = {2026}, url = {https://4ort.xyz/entity/amitsur-levitzki-theorem}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Amitsur–Levitzki theorem — https://4ort.xyz/entity/amitsur-levitzki-theorem (retrieved 2026-05-03)

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