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math.GR2010★ 7 cited
A note on maximal subgroups of free idempotent generated semigroups over bands
Igor Dolinka
We prove that all maximal subgroups of the free idempotent generated semigroup over a band B are free for all B belonging to a band variety V if and only if V consists either of le…
math.GR2010★ 2 cited
A universality result for endomorphism monoids of some ultrahomogeneous structures
Igor Dolinka, Dragan Mašulović
We devise a fairly general sufficient condition ensuring that the endomorphism monoid of a countably infinite ultrahomogeneous structure (i.e. a Fra\"ıssé limit) embeds all countab…
math.GR2010★ 17 cited
The Bergman property for endomorphism monoids of some Fra\"ıssé limits
Igor Dolinka
Based 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 ultrah…