Dg-separable dg-extensions
Alexander Zimmermann

TL;DR
This paper introduces and characterizes dg-separable dg-extensions, focusing on graded commutative dg-division algebras in odd characteristic, and explores splitting conditions of dg-module sequences.
Contribution
It provides a complete characterization of dg-separable dg-extensions and the splitting criteria for dg-modules over such extensions, especially in the case of graded commutative dg-division algebras.
Findings
Complete characterization of dg-separable dg-extensions
Splitting of dg-module sequences over dg-separable extensions
Characterization in graded commutative dg-division algebras in odd characteristic
Abstract
We define and characterise completely dg-separable dg-extensions . We completely characterise the case of graded commutative dg-division algebras in characteristic different from . We prove that for a dg-separable extension a short exact sequence of dg-modules over splits if and only if the restriction to splits.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Rings, Modules, and Algebras
