On identities in groups of fractions of cancellative semigroups
Group Theory
2007-05-23 v1
Abstract
To solve two problems of Bergman stated in 1981, we construct a group such that contains a free noncyclic subgroup (hence, satisfies no group identity) and , as a group, is generated by its subsemigroup that satisfies a nontrivial semigroup identity.
Keywords
Cite
@article{arxiv.math/0312493,
title = {On identities in groups of fractions of cancellative semigroups},
author = {S. V. Ivanov and A. M. Storozhev},
journal= {arXiv preprint arXiv:math/0312493},
year = {2007}
}
Comments
7 pages