%0 Journal Article %T Homomorphic embeddings in n-groups %A Mona Cristescu %J Scientific Bulletin of the ''Petru Maior" University of T£¿rgu Mure£¿ %D 2013 %I Editura Universit??ii "Petru Maior" %X We prove that an cancellative n-groupoid A can be homotopic embedded in an n-group if and only if in A are satis ed all n-ary Malcev conditions. Now we shall prove that in the presence of associative law we obtain homomorphic embeddings. Furthermore, if A has a lateral identity a such embeddings is assured by a subset of n-ary Malcev conditions - unary Malcev conditions. %K cancellation law %K covering semigroup %K homotopic embedding %K n-ary Malcev conditions %K n-groupoid %K unary Malcev conditions %U http://scientificbulletin.upm.ro/papers/2013/v1/09%20-%20Cristescu%20Mona%20-%20Homomorphic%20embeddings%20in%20n-groups.pdf