Applications of Differential Graded Algebra Techniques in Commutative Algebra
Saeed Nasseh, Sean K. Sather-Wagstaff
TL;DR
This paper surveys recent applications of differential graded algebra techniques, originally from rational homotopy theory, in advancing the field of homological commutative algebra.
Contribution
It introduces the novel use of DG algebra methods to solve problems in homological commutative algebra.
Findings
Demonstrates the effectiveness of DG techniques in new algebraic contexts
Provides examples of DG applications improving understanding of algebraic structures
Highlights potential for further research using DG methods
Abstract
Differential graded (DG) algebras are powerful tools from rational homotopy theory. We survey some recent applications of these in the realm of homological commutative algebra.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Homotopy and Cohomology in Algebraic Topology