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Factorizations of infinite sequences in semigroups

Citation

Justin, J and Kelarev, AV, Factorizations of infinite sequences in semigroups, Annali di Matematica Pura ed Applicata, 174, (1) pp. 87-96. ISSN 0373-3114 (1998) [Refereed Article]

DOI: doi:10.1007/BF01759367

Abstract

It 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.

Item Details

Item Type:Refereed Article
Research Division:Mathematical Sciences
Research Group:Pure Mathematics
Research Field:Algebra and Number Theory
Objective Division:Expanding Knowledge
Objective Group:Expanding Knowledge
Objective Field:Expanding Knowledge in the Mathematical Sciences
Author:Kelarev, AV (Dr Andrei Kelarev)
ID Code:14016
Year Published:1998
Web of Science® Times Cited:2
Deposited By:Mathematics
Deposited On:1998-08-01
Last Modified:2011-09-20
Downloads:0

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