The homotopy category of complexes of projective modules

The homotopy category of complexes of projective modules
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DOI:
10.1016/j.aim.2004.05.003
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发表时间:
2003-12
影响因子:
1.7
通讯作者:
Peter Jørgensen
Peter Jørgensen
中科院分区:
数学1区
文献类型:
--
作者:
Peter Jørgensen

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证明了任意合理良环上投射左模复形的同伦范畴是紧生成的三角范畴,并给出了它的紧对象子范畴与右模有限导范畴的对偶性.
The homotopy category of complexes of projective left-modules over any reasonably nice ring is proved to be a compactly generated triangulated category, and a duality is given between its subcategory of compact objects and the finite derived category of right-modules.