Description of the structure of DG--algebras via characters on a groupoidArticle
Authors: Andronick Arutyunov ; Oleg Muravev
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Andronick Arutyunov;Oleg Muravev
We construct a description of graded derivations in group algebras. Using this result for arbitrary graduation of the group algebra, we describe all possible structures of DG algebras. The corresponding examples are given. The description is given in terms of characters on a groupoid analogous to the groupoid of inner action.
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Volume: Volume 33 (2025), Issue 3 (Special issue: European Non-Associative Algebra Seminar)
Published on: October 21, 2025
Accepted on: September 19, 2025
Submitted on: May 30, 2025
Keywords: Rings and Algebras, Algebraic Geometry, Category Theory, Group Theory, Operator Algebras, 47B47, 17B70, 05E16,