Abstract
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.
Original language | English (US) |
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Pages (from-to) | 1873-1879 |
Number of pages | 7 |
Journal | Proceedings of the American Mathematical Society |
Volume | 133 |
Issue number | 7 |
DOIs | |
State | Published - Jul 2005 |
ASJC Scopus subject areas
- General Mathematics
- Applied Mathematics