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math.GR2023
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…
math.GR2023
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,…