On a Problem of A. Nagy
Group Theory
2014-02-18 v1
Abstract
If the congruences of a semigroup are commutative, we say that the semigroup is permutable. In a previous paper, A. Nagy showed that every permutable semigroup satisfying an arbitrary non-trivial permutation identity is medial or an ideal extension of a rectangular band by a non-trivial commutative nil semigroup. The author raised the following problem: Is every permutable semigroup satisfying a non-trivial permutation identity medial? In present paper we give a positive answer for this problem.
Cite
@article{arxiv.1401.2950,
title = {On a Problem of A. Nagy},
author = {Attila Deák},
journal= {arXiv preprint arXiv:1401.2950},
year = {2014}
}