Agata Smoktunowicz

collaborators

3 papers

math.RA2025

On flat deformations and their applications

Agata Smoktunowicz

We say that a formal deformation from an algebra $N$ to algebra $A$ is strongly flat if for every real number $e$ there is a real number $0 < s < e$ such that this deformation special…

math.GR2025

On some connections between braces and pre-Lie rings outside of the context of Lazard's correspondence

Agata Smoktunowicz

Let $p > 3$ be a prime number and let $A$ be a brace whose additive group is a direct sum of cyclic groups of cardinalities larger than $p^{I^\pm}$ for some $I^\pm$ . Suppose that either (i…

math.GR2025

On pre-Lie rings related to some non-Lazard braces

Agata Smoktunowicz

Let A be a brace of cardinality $p^{n}$ for some prime number $p$ . Suppose that either (i) the additive group of brace $A$ has rank smaller than $p - 3$ , or (ii) $A^{\frac {p-1}2}\su…