On identities in groups of fractions of cancellative semigroups

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dc.creatorIvanov, S. V.
dc.creatorStorozhev, A. M.
dc.date2003-12-29
dc.date.accessioned2026-07-07T05:04:16Z
dc.date.available2026-07-07T05:04:16Z
dc.descriptionTo 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.
dc.description7 pages
dc.identifierhttps://arxiv.org/abs/math/0312493
dc.identifierhttp://arxiv.org/abs/math/0312493
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/69735
dc.subjectGroup Theory
dc.subject20E10, 20F05, 20F06, 20M05
dc.titleOn identities in groups of fractions of cancellative semigroups
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