Dg-separable dg-extensions

International Electronic Journal of Algebra 2026 Open access

Read full text
Authors: Alexander Zimmermann
DOI: 10.24330/ieja.1924473
Cited by: 0
References: 17

Abstract

We define and characterise completely dg-separable dg-extensions $\varphi\colon (A,d_A)\rightarrow(B,d_B)$. We completely characterise the case of graded commutative dg-division algebras in characteristic different from $2$. We prove that for a dg-separable extension a short exact sequence of dg-modules over $(B,d_B)$ splits if and only if the restriction to $(A,d_A)$ splits.

Fields of Study & Subjects

Algebraic structures and combinatorial models Advanced Topics in Algebra Rings Modules and Algebras

Publication details

Journal / source
International Electronic Journal of Algebra
Publisher
The International Electronic Journal of Algebra
Volume
40
Issue
40
Pages
165–180
Publication date
6 April 2026
Language
EN