Classification of $\lambda$-homomorphic braces on ${\mathbb{Z}}^2$

T. Nasybullov, I. Novikov

If $A=(A,\oplus ,\odot )$ is a $\lambda$-homomorphic brace with $(A,\oplus )={\mathbb{Z}}^2$, then the operations in this brace are given by formulas \begin{align*}\begin{pmatrix}a_1\\a_2\end…