118 citations · 330 across the 37 of their papers we have counts for
38 papers
On computing deformations of contraction algebras of type E
Agata Smoktunowicz, Alicja Smoktunowicz
We construct deformations of contraction algebras of type E to semisimple algebras. We consider the class given by the potential x^3+xy^3+p(y), where p(y) is a non-zero polynomial…
A construction of deformations to general algebras
Dave Bowman, Dora Puljic, Agata Smoktunowicz
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…
From pre-Lie rings back to braces
Agata Smoktunowicz
Let A be a brace of cardinality p^{n} where p>n+1 is prime, and ann(p^{i}) be the set of elements of additive order at most p^{i} in this brace. A pre-Lie ring related to the brace…
From braces to pre-Lie rings
Aner Shalev, Agata Smoktunowicz
Let be a brace of cardinality where is prime, and let be the set of elements of additive order at most in this brace. We construct a pre-L…
On the passage from finite braces to pre-Lie rings
Agata Smoktunowicz
Let p be a prime number. We show that there is a one-to-one correspondence between the set of strongly nilpotent braces and the set of nilpotent pre-Lie rings of cardinality $p^{n}…
Some Braces of Cardinality and Related Hopf-Galois Extensions
D. Puljić, A. Smoktunowicz, K. Nejabati Zenouz
We describe all -braces of cardinality which are not right nilpotent. Our solution illustrates a general way of investigating -braces of cardi…