Jacobson radical non-nil algebras of Gel'fand-Kirillov dimension 2
Jacobson radical non-nil algebras of Gel'fand-Kirillov dimension 2
复制标题
Gelfand-Kirillov 维 2 的 Jacobson 激进非零代数
DOI：
10.1007/s11856-012-0073-5
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发表时间：
2012
影响因子：
1
通讯作者：
Smoktunowicz A
中科院分区：
文献类型：
--
作者：
Smoktunowicz A
对任意可数域，构造了一个结合代数，它是分次的，由100多个1次元生成，是Jacobson根，不是零，是素数，不是PI，并且有Gel'fand-Kirillov维数2.这反驳了古德尔错误地提出的猜测。
For an arbitrary countable field, we construct an associative algebra that is graded, generated by finitely many degree-1 elements, is Jacobson radical, is not nil, is prime, is not PI, and has Gel’fand-Kirillov dimension two. This refutes a conjecture incorrectly attributed to Goodearl.