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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,…
Distributivity in lattices of torsion classes over finite-dimensional algebras
Yongle Luo, Jiaqun Wei
Let be a basic finite-dimensional algebra and denote by the collection of all all torsion classes of . It has been proved in \cite{Demonet} that $\op…
Harmonic Riemannian submersions from 3-dimensional geometries
Ze-Ping Wang, Ye-Lin Ou, Yong-Gui Luo
In this paper, we study harmonic Riemannian submersions from 3-dimensional geometries using the ( generalized) integrability data associated to an orthonormal frame natural to a Ri…