1 citations · 1 across the 3 of their papers we have counts for
3 papers
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.CO2012
The Commuting Graph of the Symmetric Inverse Semigroup
João Araújo, Wolfram Bentz, Janusz Konieczny
The commuting graph of a finite non-commutative semigroup , denoted $\cg(S)$, is a simple graph whose vertices are the non-central elements of and two distinct vertices $x,y…
math.GR2010★ 1 cited
The Largest Subsemilattices of the Semigroup of Transformations on a Finite Set
João Araújo, Janusz Konieczny
Let T(X) be the semigroup of full transformations on a finite set X with n elements. We prove that every subsemilattice of T(X) has at most 2^{n-1} elements and that there are prec…