Large free sets in universal algebras

Taras Banakh, Artur Bartoszewicz, Szymon Głab

We prove that for each universal algebra $(A,\mathcal{A})$ of cardinality $|A|\ge 2$ and an infinite set $X$ of cardinality $|X|\ge |\mathcal{A}|$, the $X$-th power $(A^X,\mathcal A^X…