2023/05/05 by Dave Bowman, Bowman, Dave, Dora Puljic +3 · 1 citation
Mathematics · #14D15 (Primary) #16S38 #16S80 (Secondary) #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Rings and Algebras (math.RA)
paper · pdf · doi:10.48550/arxiv.2305.03446
openalex publication_date 2023/05/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
One of the questions investigated in deformation theory is to determine to which algebras can a given associative algebra be deformed. In this paper we investigate a different but related question, namely: for a given associative finite-dimensional C-algebra A, find algebras N which can be deformed to A. We develop a simple method which produces associative and flat deformations to investigate this question. As an application of this method we answer a question of Michael Wemyss about deformations of contraction algebras.