3 citations · 6 across the 10 of their papers we have counts for
11 papers
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…
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…
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…
On groups in which subnormal subgroups of infinite rank are commensurable with some normal subgroup
Ulderico Dardano, Fausto De Mari
We study soluble groups G in which each subnormal subgroup H with infinite rank is commensurable with a normal subgroup, i.e. there exists a normal subgroup N such that the interse…
Groups in which each subgroup is commensurable with a normal subgroup
Carlo Casolo, Ulderico Dardano, Silvana Rinauro
A group G is a cn-group if for each subgroup H of G there exists a normal subgroup N of G such that the index of both H and N in HN is finite. The class of cn-groups contains prope…
Inertial Properties in Groups
Ulderico Dardano, Dikran Dikranjan, Silvana Rinauro
Let G be a group and f be an endomorphism of G. A subgroup H of G is called f-inert if the meet of Hf and H has finite index in the image Hf. The subgroups that are f-inert for all…
Variants of theorems of Baer and Hall on finite-by-hypercentral groups
Carlo Casolo, Ulderico Dardano, Silvana Rinauro
We show that if a group has a finite normal subgroup such that is hypercentral, then the index of the hypercenter of is bounded by a function of the order of .…
On groups whose subnormal subgroups are inert
Ulderico Dardano, Silvana Rinauro
A subgroup H of a group G is called inert if for each the index of in is finite. We give a classification of soluble-by-finite groups in which subnorma…
On the ring of inertial endomorphisms of an abelian group
Ulderico Dardano, Silvana Rinauro
An endomorphisms of an abelian group is said inertial if each subgroup of has finite index in . We study the ring of inertial endomorphisms of an abelian gr…
The group of inertial automorphisms of an abelian group
Ulderico Dardano, Silvana Rinauro
We study the group generated by the inertial automorphisms of an abelian group , that is, automorphisms with the property that each subgroup of has finite…
Inertial endomorphisms of an abelian group
Ulderico Dardano, Silvana Rinauro
We describe inertial endomorphisms of an abelian group , that is endomorphisms with the property for each . They form a ring containing multipl…