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On identities in groups of fractions of cancellative semigroups
Author(s):
S.
V.
Ivanov;
A.
M.
Storozhev
Journal:
Proc. Amer. Math. Soc.
133
(2005),
1873-1879.
MSC (2000):
Primary 20E10, 20F05, 20F06, 20M05
Posted:
February 24, 2005
MathSciNet review:
2137850
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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.
References:
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Additional Information:
S.
V.
Ivanov
Affiliation:
Department of Mathematics, University of Illinois, Urbana, Illinois 61801
Email:
ivanov@math.uiuc.edu
A.
M.
Storozhev
Affiliation:
Australian Mathematics Trust, University of Canberra, Belconnen, ACT 2616, Australia
Email:
andreis@amt.canberra.edu.au
DOI:
10.1090/S0002-9939-05-07903-7
PII:
S 0002-9939(05)07903-7
Received by editor(s):
November 2, 2003
Posted:
February 24, 2005
Additional Notes:
The first author was supported in part by NSF grants DMS 00-99612, 04-00746
Communicated by:
Jonathan I. Hall
Copyright of article:
Copyright
2005,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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