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Division algebras of Gelfand-Kirillov transcendence degree 2

✍ Scribed by Jason P. Bell

Publisher
The Hebrew University Magnes Press
Year
2009
Tongue
English
Weight
138 KB
Volume
171
Category
Article
ISSN
0021-2172

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📜 SIMILAR VOLUMES

Gelfand-Kirillov Dimension of Noetherian
Gelfand-Kirillov Dimension of Noetherian Semigroup Algebras
✍ 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

∗-Orderings and ∗-valuations on algebras
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✍ Murray Marshall 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 198 KB

The paper considers the real \* -spectrum of a ÿnitely generated algebra with involution over C of ÿnite Gelfand-Kirillov dimension. It is shown that for such an algebra the stability indices associated to the real \* -spectrum are bounded by the Gelfand-Kirillov dimension, as in the commutative cas