English

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

Rings and Algebras 2007-05-23 v1

Abstract

For any nn-ary associative algebra we construct a Zn1\Z_{n-1} graded algebra, which is a universal object containing the nn-ary algebra as a subspace of elements of degree 1. Similar construction is carried out for semigroups.

Keywords

Cite

@article{arxiv.math/9807019,
  title  = {On the $n$-ary algebras, semigroups and their universal covers},
  author = {Andrzej Sitarz},
  journal= {arXiv preprint arXiv:math/9807019},
  year   = {2007}
}

Comments

10 pages, Uses AMS-LaTeX and XYpic