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

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

1998-07-03

arxiv.org/abs/math/9807019v1

Mathematics

Rings and Algebras

10 pages, Uses AMS-LaTeX and XYpic

Scientific paper

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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