On identities in groups of fractions of cancellative semigroups

Details On identities in groups of fractions of cancellative semigroups On identities in groups of fractions of cancellative semigroups

2003-12-29

arxiv.org/abs/math/0312493v1

Mathematics

Group Theory

7 pages

Scientific paper

To solve two problems of Bergman stated in 1981, we construct a group $G$
such that $G$ contains a free noncyclic subgroup (hence, $G$ satisfies no group
identity) and $G$, as a group, is generated by its subsemigroup that satisfies
a nontrivial semigroup identity.

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