Homological dimensions of unbounded complexes
Homological dimensions of unbounded complexes
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DOI：
10.1016/0022-4049(91)90144-q
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发表时间：
1991-05
影响因子：
0.8
通讯作者：
L. Avramov;H. Foxby
中科院分区：
文献类型：
--
作者：
L. Avramov;H. Foxby
本文探讨了各种概念的投射，内射，平坦的尺寸，产生于最近的建设决议的无界复形，提出了N。Spalanum和S. Halperin与作者。每个维度的不同版本都相互比较，并且与经典概念进行比较，无论何时定义这些概念。在适当的导函子的消失方面提供的尺寸的上同调特征。研究了环变换下维数的性质。
This paper explores various notions of projective, injective, and flat dimensions, arising from recent constructions of resolutions of unbounded complexes, proposed by N. Spaltenstein and by S. Halperin with the authors. The different versions of each dimension are compared to each other, and also to the classical concepts, whenever these may be defined. Cohomological characterizations of the dimensions are provided in terms of vanishing of appropriate derived functors. The behavior of the dimensions under change of rings is investigated.