论文标题
仿射Noetherian代数，过滤和演示文稿
Affine Noetherian algebras, filtrations and presentations
论文作者
论文摘要
Resco和Small给出了一个未经有限介绍的Aggine Noetherian代数的第一个例子。结果表明，他们的代数没有有限的维过滤，其相关的分级代数为noe，可以确认其预测。他们的示例的修改产生了可计数的领域，“几乎所有”（即，共同计数的连续体）仿生的noetherian代数缺乏这种过滤，并且对欧文和小提出的问题的答案得出了答案。
Resco and Small gave the first example of an affine Noetherian algebra which is not finitely presented. It is shown that their algebra has no finite-dimensional filtrations whose associated graded algebras are Noetherian, affirming their prediction. A modification of their example yields countable fields over which `almost all' (that is, a co-countable continuum of) affine Noetherian algebras lack such a filtration, and an answer to a question suggested by Irving and Small is derived.
