The category of anticommutative algebras with multiplicative bases is finitely universal

We show that for any finite group [Formula: see text], there exist infinitely many simple anticommutative algebras with multiplicative bases [Formula: see text] such that the group [Formula: see text] is isomorphic to [Formula: see text].

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Publication Details

Journal
Journal of Algebra and Its Applications
Published
2025-02-13
DOI
https://doi.org/10.1142/s0219498826501690
Primary Topic
Advanced Algebra and Logic
Type
article
Field-Weighted Citation Impact
0.00
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article

The category of anticommutative algebras with multiplicative bases is finitely universal

Antonio J. Calderón Martı́n
Journal of Algebra and Its Applications
Advanced Algebra and Logic
article

The category of anticommutative algebras with multiplicative bases is finitely universal

Antonio J. Calderón Martı́n
article en

Abstract

We show that for any finite group [Formula: see text], there exist infinitely many simple anticommutative algebras with multiplicative bases [Formula: see text] such that the group [Formula: see text] is isomorphic to [Formula: see text].

Journal of Algebra and Its Applications
Universidad de Cádiz (ES)
Openalex Percentile: Top 97%
Advanced Algebra and Logic
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The category of anticommutative algebras with multiplicative bases is finitely universal — Antonio J. Calderón Martı́n · Journal of Algebra and Its Applications (2025) | TGRS Research Map | TGRS