All Questions
Tagged with cryptography universal-algebra
2 questions
2
votes
0
answers
50
views
Counting permutations of $X^2$ that induce 4 quasigroup operations up to isotopy
Let $X$ be a finite set. Recall that a binary operation $\ast$ on $X$ is said to be a quasigroup operation if there are binary operations $/,\backslash$ where $(x/y)\ast y=(x\ast y)/y=x$ and $x\ast(x\...
3
votes
0
answers
72
views
What is the computational complexity of equivalence up to a critical point in the one generator free self-distributive algebra?
Suppose that there exists a rank-into-rank cardinal. Then let $R$ be the relation on the set of terms in the language of self-distributive algebras (or LD-monoids) on one generator where we set
$R(s,t)...