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math.GR2021
Factorisations of some partially ordered sets and small categories
Tobias Schlemmer
Orbits of automorphism groups of partially ordered sets are not necessarily congruence classes, i.e. images of an order homomorphism. Based on so-called orbit categories a framewor…
math.GR2011
Linear extensions of partial orders on Abelian groups
Tobias Schlemmer
Partially ordered groups, also known as po-groups, are groups with a compatible partial order. Results from M.I. Zajceva and H.-H. Teh are combined in order to provide a full chara…