Spectra for commutative algebraists
J.P.C.Greenlees
TL;DR
This paper introduces spectra from algebraic topology to commutative algebraists, explaining their origins and usefulness for algebraic problems.
Contribution
It clarifies the concept of spectra and demonstrates their relevance and applications in commutative algebra.
Findings
Spectra provide a topological perspective on algebraic structures.
They help in understanding the geometric aspects of algebraic problems.
The paper bridges the gap between algebraic topology and commutative algebra.
Abstract
The article is designed to explain to commutative algebraists what spectra (in the sense of algebraic topology) are, why they were originally defined, and how they can be useful for commutative algebra.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Advanced Topics in Algebra · Algebraic structures and combinatorial models