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- W2143143417 abstract "In response to a question posed by P. Erdös, B. H. Neumann showed that in a group with every subset of pairwise noncommuting elements finite there is a bound on the size of these sets. Recently, H. E. Bell, A. A. Klein and the first author showed that a similar result holds for rings. However in the case of semigroups, finiteness of subsets of pairwise noncommuting elements does not assure the existence of a bound for their size. The largest class of semigroups in which we found Neumann's result valid are cancellative semigroups." @default.
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- W2143143417 date "2001-02-01" @default.
- W2143143417 modified "2023-10-01" @default.
- W2143143417 title "An analogue for semigroups of a group problem of P. Erdös and B. H. Neumann" @default.
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- W2143143417 doi "https://doi.org/10.1017/s0004972700019109" @default.
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