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Results tagged with associative-algebras
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user 1306
For questions on algebras with an associative product.
7
votes
Accepted
surjectivity of irreducible representation
What's the ground field? Of course if it's $\mathbb{R}$ and $A=\mathbb{R}[t]/(t^2+1)$, then the regular module is irreducible, but the corresponding $p$ is not surjective. Over an algebraically closed …
- 16.9k
17
votes
Accepted
Is the Amitsur-Levitzki identity essentially unique?
The answer to your question is "no", as explained by Anton Klyachko in his answer. Let me refer you to a remarkable statement of Razmyslov and Procesi that describes all identities. They proved (indep …
- 16.9k