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math.GR2014
The Largest Subsemilattices of the Endomorphism Monoid of an Independence Algebra
João Araújo, Wolfram Bentz, Janusz Konieczny
An algebra $\A$ is said to be an independence algebra if it is a matroid algebra and every map $\al:X\to A$, defined on a basis of $\A$, can be extended to an endomorphism of $…
math.GR2012★ 2 cited
Groups Synchronizing a Transformation of Non-Uniform Kernel
João Araújo, Wolfram Bentz, Peter J. Cameron
This paper concerns the general problem of classifying the finite deterministic automata that admit a synchronizing (or reset) word. (For our purposes it is irrelevant if the autom…