The Bergman property for endomorphism monoids of some Fraïssé limits
Keyword(s):
AbstractBased on an idea of Y. Péresse and some results of Maltcev, Mitchell and Ruškuc, we present sufficient conditions under which the endomorphism monoid of a countably infinite ultrahomogeneous first-order structure has the Bergman property. This property has played a prominent role both in the theory of infinite permutation groups and, more recently, in semigroup theory. As a byproduct of our considerations, we establish a criterion for a countably infinite ultrahomogeneous structure to be homomorphism-homogeneous.
2012 ◽
Vol 55
(3)
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pp. 635-656
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2019 ◽
Vol 2019
(1)
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2020 ◽
Vol 2020
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pp. 1-11
2008 ◽
Vol 55
(6)
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pp. 1279-1292
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1977 ◽
Vol 99
(2)
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pp. 85-90
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