Jacobson radical algebras with Gelfand–Kirillov dimension two over countable fields
Jacobson radical algebras with Gelfand–Kirillov dimension two over countable fields
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可数域上具有 Gelfand-Kirillov 维二的 Jacobson 激进代数
DOI：
10.1016/j.jpaa.2006.08.003
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发表时间：
2007
影响因子：
0.8
通讯作者：
A. Smoktunowicz
中科院分区：
文献类型：
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作者：
A. Smoktunowicz
证明了对于每一个可数域K，在K上存在一个有限生成的二阶Gelfand-Kirillov维Jacobson根代数。Bartholdi [L]早先构造了特征为2的有限域代数扩展上有限生成的Gelfand-Kirillov维2 Jacobson根代数的例子。Bartholdi，分枝环，薄环，树环，Israel J.数学。(新闻)]。
It is shown that for every countable field K, there is a finitely generated graded Jacobson radical algebra over K of Gelfand–Kirillov dimension two. Examples of finitely generated Jacobson radical algebras of Gelfand–Kirillov dimension two over algebraic extensions of finite fields of characteristic 2 were earlier constructed by Bartholdi [L. Bartholdi, Branch Rings, thinned rings, tree enveloping rings, Israel J. Math. (in press)].
DOI：
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发表时间：
2023
期刊：
影响因子：
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作者：
PHAKDIMEK Sartsin;NAKAMURA Masashi;ABE Yuta;KOMORI Daisuke;Shinnosuke Okawa
通讯作者：
Shinnosuke Okawa