非诺特环的Bousfield格:一些等价和乘积
Bousfield lattices of non-Noetherian rings: some quotients and products
摘要:
第三节在一个良好生成的张量三角范畴的背景下,研究了商的Bousfield格与其商的Bousfield格之间的关系。第四节利用标量扩张诱导的导出函子,建立了一个研究交换或分次交换环的导出范畴的Bousfield格的一般框架。第5节应用这一工作将Dwyer和Palmieri [DP 08]的结果推广到新的非诺特环。
英文摘要:
In the context of a well generated tensor triangulated category, Section 3 investigates the relationship between the Bousfield lattice of a quotient and quotients of the Bousfield lattice. In Section 4 we develop a general framework to study the Bousfield lattice of the derived category of a commutative or graded-commutative ring, using derived functors induced by extension of scalars. Section 5 applies this work to extend results of Dwyer and Palmieri [DP08] to new non-Noetherian rings.
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