This book is based on talks presented at the Summer School on Interactions between Homotopy theory and Algebra held at the University of Chicago in the summer of 2004. The goal of this book is to create a resource for background and for current directions of research related to deep connections between homotopy theory and algebra, including algebraic geometry, commutative algebra, and representation theory. The articles in this book are aimed at the audience of beginning researchers with varied mathematical backgrounds and have been written with both the quality of exposition and the accessibility to novices in mind.
著者译名:扎林斯基。
The author introduces the notion of a Galois extension of commutative $S$-algebras ($E_\infty$ ring spectra), often localized with respect to a fixed homology theory.
... and José Seade, Editors, Geometry and dynamics, 2005 Ravi Vakil, Editor, Snowbird lectures in algebraic geometry, 2005 Michael Entov, Yehuda Pinchover, and Michah Sageev, Editors, Geometry, spectral theory, groups, and dynamics, ...
A Representation Theory for Commutative Topological Algebra
A Course in Commutative Algebra
The second volume of this comprehensive treatise focusses on Buchberger theory and its application to the algorithmic view of commutative algebra.