In abstract algebra, alternativity is a property of a binary operation. A magma is said to be ' if (xx)y = x(xy) for all x, y \in G and if y(xx) = (yx)x for all x, y \in G. A magma that is both left and right alternative is said to be '.
In abstract algebra, alternativity is a property of a binary operation. A magma is said to be ' if (xx)y = x(xy) for all x, y \in G and if y(xx) = (yx)x for all x, y \in G. A magma that is both left and right alternative is said to be '.
Any associative magma (that is, a semigroup) is alternative. More generally, a magma in which every pair of elements generates an associative submagma must be alternative. The converse, however, is not true, in contrast to the situation in alternative algebras.
Discovered by embedding cosine similarity (sentence-transformers MiniLM, 384-dim).