On identities in groups of fractions of cancellative semigroups

DOI10.1090/S0002-9939-05-07903-7zbMath1076.20015arXivmath/0312493MaRDI QIDQ4663435

A. M. Storozhev, Sergei V. Ivanov

Publication date: 31 March 2005

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0312493

zbMATH Keywords

groups of fractionssemigroup identitiesgroup identitiescancellative semigroups

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Free semigroups, generators and relations, word problems (20M05) Quasivarieties and varieties of groups (20E10) Cancellation theory of groups; application of van Kampen diagrams (20F06)

Related Items (4)

Semigroups of matrices of intermediate growth. ⋮ GB-Problem in the Class of Locally Graded Groups ⋮ On non-Hopfian groups of fractions ⋮ Laws with constants in Thompson's group \({F}\)

Cites Work

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• Hyperidentities of groups and semigroups
• Non-Hopfian relatively free groups.
• On the immersion of an algebraic ring into a field
• On abelian subgroups of relatively free groups
• Groups with no Free Subsemigroups
• Invariant Measures and Growth Conditions
• Subsemigroups of nilpotent groups

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