Answer to Question #23567 in Abstract Algebra for jeremy

Question #23567
For a finite-dimensional k-algebra R, let T(R) = rad R + [R,R], where [R,R] denotes the subgroup of R generated by ab − ba for all a, b ∈ R. Assume that k has characteristic p > 0. Show that T(R) ⊆ {a ∈ R : a^p^m ∈ [R,R] for some m ≥ 1}, with equality if k is a splitting field for R.
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Expert's answer
2013-02-05T10:35:19-0500
The answer to the question is available in the PDF file https://www.assignmentexpert.com/https://www.assignmentexpert.com/homework-answers/mathematics-answer-23567.pdf

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