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Affine algebras of Gelfand-Kirillov dimension one are PI

✍ Scribed by Small, L. W.; Stafford, J. T.; Warfield, R. B.


Book ID
118143870
Publisher
Cambridge University Press
Year
1985
Tongue
English
Weight
198 KB
Volume
97
Category
Article
ISSN
0305-0041

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📜 SIMILAR VOLUMES


Gelfand-Kirillov Dimension of Noetherian
✍ J. Okninski 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 664 KB

It is shown that for certain classes of semigroup algebras \(K[S]\), including right noetherian algebras, the Gelfand-Kirillov dimension is finite whenever it is finite on all cancellative subsemigroups of \(S\). Moreover, the dimension of the algebra modulo the prime radical is then an integer. A d