Remarks on a Theorem of Amitsur |
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Authors: | Alon Regev |
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Affiliation: | 1. Department of Mathematical Sciences , Northern Illinois University , DeKalb, Illinois, USA regev@math.niu.edu |
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Abstract: | Amitsur proved the following theorem for an uncountable field k: Let A be a k-algebra, then any finite-dimensional nil subspace of A has bounded index, and any finite dimensional algebraic subspace of A has bounded degree. Here we give a new proof of Amitsur's theorem, a proof which is more elementary and direct, than Amitsur's original proof. |
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Keywords: | Algebraic algebra Amitsur Nilpotent algebra Uncountable field |
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