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Factorizations of infinite sequences in semigroups
journal contribution
posted on 2023-05-16, 11:13 authored by Justin, J, Kelarev, AVIt follows from the Ramsey theorem that every infinite sequence of elements of a finite semigroup has an infinite factorization of the form x, e, e, e, ..., where e is an idempotent of the semigroup. We describe all semigroups with this property and ivith its analog for tim-sided infinite sequences.
History
Publication title
Annali di Matematica Pura ed ApplicataVolume
174Pagination
87-96ISSN
0373-3114Department/School
School of Natural SciencesPublisher
SpringerPlace of publication
GermanyRepository Status
- Restricted