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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

$ Q$-composable properties, semigroups and $ {\rm CM}$-homomorphisms


Authors: A. R. Bednarek and K. D. Magill
Journal: Trans. Amer. Math. Soc. 174 (1972), 383-398
MSC: Primary 34A99; Secondary 20M20
DOI: https://doi.org/10.1090/S0002-9947-1972-0312448-1
MathSciNet review: 0312448
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Abstract: A certain type of topological property is investigated. To each such property and each topological space satisfying various conditions there is associated, in a natural way, a semigroup of relations. The nonconstant, union and symmetry preserving homomorphisms from one such semigroup into another are completely determined and this results in a topological version of the Clifford-Miller Theorem on endomorphisms of the full binary relation semigroup on a set.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9947-1972-0312448-1
Keywords: Topological properties, semigroups of relations
Article copyright: © Copyright 1972 American Mathematical Society