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

Andrzej Sitarz

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arXiv · math/9807019

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

Andrzej Sitarz

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Abstract

For any $n$-ary associative algebra we construct a $\Z_{n-1}$ 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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Andrzej Sitarz. 1998-07-03. On the $n$-ary algebras, semigroups and their universal covers. https://arxiv.org/abs/math/9807019

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