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arxiv: math/9807019 · v1 · pith:C2RVW75D · submitted 1998-07-03 · math.RA

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

Andrzej Sitarz This is my paper

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classification math.RA
keywords algebrasemigroupsuniversalalgebrasassociativecarriedconstructconstruction
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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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