Andronick Arutyunov ; Oleg Muravev - Description of the structure of DG--algebras via characters on a groupoid

cm:15775 - Communications in Mathematics, October 21, 2025, Volume 33 (2025), Issue 3 (Special issue: European Non-Associative Algebra Seminar) - https://doi.org/10.46298/cm.15775
Description of the structure of DG--algebras via characters on a groupoidArticle

Authors: 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,

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