Description of the structure of DG--algebras via characters on a groupoid

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. english grammar is checked

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Journal
Communications in Mathematics
Published
2025-10-21
DOI
https://doi.org/10.46298/cm.15775
Primary Topic
Advanced Algebra and Logic
Type
article
Field-Weighted Citation Impact
0.00

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article

Description of the structure of DG--algebras via characters on a groupoid

Andronick Arutyunov, Oleg Muravev
Communications in Mathematics
Advanced Algebra and Logic
article

Description of the structure of DG--algebras via characters on a groupoid

Andronick Arutyunov, Oleg Muravev
article en

Abstract

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. english grammar is checked

Communications in MathematicsVol. Volume 33 (2025), Issue 3...
Russian Academy of Sciences (RU)
Russian Science Foundation
Openalex Percentile: Top 68%
Advanced Algebra and Logic
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Description of the structure of DG--algebras via characters on a groupoid — Andronick Arutyunov, Oleg Muravev · Communications in Mathematics (2025) | TGRS Research Map | TGRS