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math.RA2021★ 1 cited
Properties of Congruence Lattices of Graph Inverse Semigroups
Marina Anagnostopoulou-Merkouri, Zak Mesyan, James D. Mitchell
From any directed graph one can construct the graph inverse semigroup , whose elements, roughly speaking, correspond to paths in . Wang and Luo showed that the congrue…
math.RA2021
Products and Intersections of Prime-Power Ideals in Leavitt Path Algebras
Zachary Mesyan, Kulumani M. Rangaswamy
We continue a very fruitful line of inquiry into the multiplicative ideal theory of an arbitrary Leavitt path algebra L. Specifically, we show that factorizations of an ideal in L…