On constructing deformations of noncommutative algebras

2025/07/06 by Agata Smoktunowicz, Smoktunowicz, Agata · 1 citation
Computer Science · Mathematics · #16Sxx #Advanced Algebra and Logic #Advanced Topics in Algebra #FOS: Mathematics #Matrix Theory and Algorithms #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.2507.04436

openalex publication_date 2025/07/06 · openalex created_date 2025/10/20 · openalex updated_date 2026/07/28

Abstract

We show that if there is a flat deformation from a finite-dimensional algebra N to an algebra A, then such a deformation can be obtained by a slight generalization of the construction from [2]. The generalization allows negative powers of t to occur in the formula for f. The proof uses a result from [19]. We also prove that this modified construction produces well-defined formal deformations that are flat deformations from N to A.

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• On flat deformations and their applications

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