The paper claims to compute derivations and automorphism groups of low-dimensional associative algebras over C, but the computations are not self-contained and contain errors.
Compatible Associative Algebras and Some Invariants
1 Pith paper cite this work. Polarity classification is still indexing.
abstract
A compatible associative algebra is a vector space equipped with two associative multiplication structures that interact in a certain natural way. This article presents the classification of these algebras with dimension less than four, as well as the classifications of their corresponding derivations, centroids, automorphisms, and quasi-centroids. We then characterize a selection of further invariants such as Rota-Baxter operators and second cohomology for some specific examples.
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math.RA 1years
2025 1verdicts
REJECT 1representative citing papers
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Computational Approaches to Derivations and Automorphism Groups of Associative Algebras
The paper claims to compute derivations and automorphism groups of low-dimensional associative algebras over C, but the computations are not self-contained and contain errors.