(1) Bolyai Institute, University of Szeged, Aradi vertanuk tere 1, H-6720, Szeged, Hungary;(2) Eotvos Lorand University, Department of Algebra and Number Theory, 1117, Budapest, Pazmany Peter setany 1/c, Hungary
Abstract:
We give an asymptotical bound for the logarithm of the free spectrum of the variety generated by the five element Brandt semigroup. Our bound is much better than any previously known estimate.