Representations and cohomology theory of relative Rota-Baxter alternative algebras

We introduce the concept of relative Rota-Baxter alternative algebras. The representations and low dimensional cohomology theory of relative Rota-Baxter alternative algebras are studied. Some applications in deformation and abelian extension are given.

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Publication Details

Journal
Filomat
Published
2025-01-01
DOI
https://doi.org/10.2298/fil2512043b
Primary Topic
Geochemistry and Geologic Mapping
Type
article
Field-Weighted Citation Impact
0.00
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Representations and cohomology theory of relative Rota-Baxter alternative algebras

Filomat
Geochemistry and Geologic Mapping
article

Representations and cohomology theory of relative Rota-Baxter alternative algebras

article en

Abstract

We introduce the concept of relative Rota-Baxter alternative algebras. The representations and low dimensional cohomology theory of relative Rota-Baxter alternative algebras are studied. Some applications in deformation and abelian extension are given.

FilomatVol. 39(12)
Henan Normal University (CN)
Openalex Percentile: Top 70%
Geochemistry and Geologic Mapping
DOIOpen Access PDFOpenAlex
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Representations and cohomology theory of relative Rota-Baxter alternative algebras · Filomat (2025) | TGRS Research Map | TGRS