English

On constructing deformations of noncommutative algebras

Rings and Algebras 2025-07-08 v1

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.

Keywords

Cite

@article{arxiv.2507.04436,
  title  = {On constructing deformations of noncommutative algebras},
  author = {Agata Smoktunowicz},
  journal= {arXiv preprint arXiv:2507.04436},
  year   = {2025}
}
R2 v1 2026-07-01T03:48:27.115Z