On the $n$-ary algebras, semigroups and their universal covers

arXivmath/9807019MaRDI QIDQ6500947

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Abstract: For any $n$-ary associative algebra we construct a $$ graded algebra, which is a universal object containing the $n$-ary algebra as a subspace of elements of degree 1. Similar construction is carried out for semigroups.

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