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Polynomial Rings over Goldie Rings

✍ Scribed by Ramon Antoine; Ferran Cedó


Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
99 KB
Volume
237
Category
Article
ISSN
0021-8693

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✦ Synopsis


For each finite field K, we construct a commutative Goldie K-algebra R such that the polynomial ring R x is not a Goldie ring. This generalizes a construction of Kerr.


📜 SIMILAR VOLUMES


Polynomial Rings over Nil Rings Need Not
✍ Agata Smoktunowicz 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 116 KB

We construct a nil algebra over a countable field, the polynomial ring over which is not nil. This answers a question of Amitsur.