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On constructing deformations of noncommutative algebras (2507.04436v1)

Published 6 Jul 2025 in math.RA

Abstract: This paper presents a method for constructing flat deformations of associative algebras. We will refer to this method as method two because it is a generalisation of the method obtained in [1]. The deformations obtained using the first two methods are of polynomial type. We also present a third method, for the construction of deformations from N to A, for a semisimple algebra A. As an applied example, we answer a question posed by Michael Wemyss on deformations of Acons.

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