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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.GR2014★ 26 cited
The rank of the semigroup of transformations stabilising a partition of a finite set
Joao Araujo, Wolfram Bentz, J. D. Mitchell +1
Let be a partition of a finite set . We say that a full transformation preserves (or stabilizes) the partition if for all $P\in \mathcal{P…