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并非环的导出范畴中的每个对象都与一个模Bousfield等价

范畴论 2012-10-29 v3 代数拓扑

作者: F. Luke Wolcott

在 arXiv 上查看 ↗ PDF ↗

摘要

我们考虑一个特定的非诺特环Λ的导出范畴，并证明D(Λ)中存在不与任何模Bousfield等价的对象。这回答了Dwyer和Palmieri提出的一个问题。

关键词

导出范畴 Bousfield等价非诺特环模

引用

@article{arxiv.1202.6494,
  title  = {Not every object in the derived category of a ring is Bousfield equivalent to a module},
  author = {F. Luke Wolcott},
  journal= {arXiv preprint arXiv:1202.6494},
  year   = {2012}
}

备注

12 pages. This paper has been withdrawn by the author due to a crucial error in the fourth line of the proof of Lemma 3.3