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math.GR2023
Assemblies as Semigroups
Ulderico Dardano, Bruno Dinis, Giuseppina Terzo
In this paper we give an algebraic characterization of assemblies in terms of bands of groups. We also consider substructures and homomorphisms of assemblies. We give many examples…
math.GR2023★ 1 cited
Groups with the real chain condition on non-pronormal subgroups
Ulderico Dardano, Fausto De Mari
It is shown that a gerenalised radical group has no chain of non-pronormal subgroups with the same order type as the set of the real numbers if and only if either the group is mini…
math.GR2023
A real chain condition for groups
Ulderico Dardano, Fausto De Mari
We consider a very weak chain condition for a poset, that is the absence of subsets which are order isomorphic to the set of real numbers in their natural ordering; we study genera…