2 citations · 4 across the 7 of their papers we have counts for
5 papers · 1 filter
Distributivity in congruence lattices of graph inverse semigroups
Yongle Luo, Zhengpan Wang, Jiaqun Wei
Let Γ be a directed graph and Inv(Γ) be the graph inverse semigroup of Γ. Luo and Wang [7] showed that the congruence lattice C(Inv(Γ)) of any graph inverse semigroup Inv(Γ) is upp…
Some properties of congruence lattices of path semigroups
Yongle Luo, Zhengpan Wang, Jiaqun Wei
Each quiver corresponds to a path semigroup, and such a path semigroup also corresponds to an associative K-algebra over an algebraically closed field K. Let Q be a quiver and S_Q,…
On lattice of congruences on graph inverse semigroups
Yongle Luo, Zhengpan Wang
Congruences on a graph inverse semigroup were recently described in terms of the underline graph. Based on such descriptions, we show that the lattice of congruences on a graph inv…
Graph inverse semigroups and Leavitt path algebras
John Meakin, Zhengpan Wang
We study two classes of inverse semigroups built from directed graphs, namely graph inverse semigroups and a new class of semigroups that we refer to as Leavitt inverse semigroups.…
Congruences on graph inverse semigroups
Zheng-Pan Wang
Inverse graph semigroups were defined by Ash and Hall in 1975. They found necessary and sufficient conditions for the semigroups to be congruence free. In this paper we give a desc…