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Amitsur's Conjecture on Polynomial Rings in N Commuting Indeterminates
- Mathematical Proceedings of the Royal Irish Academy
- Royal Irish Academy
- Volume 102A, Number 2, December 2002
- pp. 205-213
- 10.1353/mpr.2002.0014
- Article
- Additional Information
Abstract
Abstract:
For each natural number n we construct an algebra over a countable field such that the polynomial ring in n commuting indeterminates over this algebra is Jacobson radical but not a nil-ring. This answers a question of Amitsur.
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