Homotopical Aspects of Commutative Algebras II: Freeness Conditions for Quadratic Modules
Z. Arvasi, E. Ulualan, E. Uslu
TL;DR
This paper explores the homotopy theory of simplicial commutative algebras to understand their homological properties and conditions for freeness in quadratic modules.
Contribution
It introduces new homotopical methods to analyze freeness conditions in quadratic modules within simplicial commutative algebras.
Findings
Established criteria for freeness in quadratic modules
Connected homotopy theory with homological applications
Provided new insights into simplicial commutative algebra structures
Abstract
This article investigates the homotopy theory of simplicial commutative algebras with a view to homological applications.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Algebraic structures and combinatorial models · Advanced Topics in Algebra