Spectra in model categories and applications to the algebraic cotangent complex

被引：42

作者：

Schwede, S ^{[1
]}

机构：

[1] UNIV BIELEFELD,DEPT MATH,D-4800 BIELEFELD,GERMANY

来源：

JOURNAL OF PURE AND APPLIED ALGEBRA | 1997年 / 120卷 / 01期

关键词：

D O I：

10.1016/S0022-4049(96)00058-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Consider a commutative simplicial ring B which is an algebra over the rational numbers. We show that the homotopy theory of simplicial B-modules and the stable homotopy theory of augmented commutative B-algebras are equivalent. In terms of this equivalence, we can identify Andre-Quillen homology as a stabilization process (suspension spectrum). (C) 1997 Elsevier Science B.V.

引用

页码：77 / 104

页数：28