A method of finding automorphism groups of endomorphism monoids of relational systems. (Q879337)

Let \(\mathcal A\) be a mathematical structure and \(\text{End}(\mathcal A)\) denotes the semigroup of all endomorphisms of \(\mathcal A\). Describing the automorphism group of the monoid \(\text{End}(\mathcal A)\) is a known algebraic problem. The purpose of the paper under review is to describe the group \(\Aut\,\text{End}(\mathcal A)\) for the case when \(\mathcal A\) is a relational system \((A,\rho)\), where \(\rho\) is an \(n\)-ary relation on the set \(A\). Reviewer's remark: The authors mention that recently this ``problem of describing \(\Aut\,\text{End}(\mathcal A)\) has attracted an even wider attention for its links to universal algebraic topology'', but this topic developed by B. I. Plotkin is called universal algebraic geometry.