On the full transitivity of a cotorsion hull

It is shown that there exists a family of{2^{2^{\aleph_{0}}}}non-isomorphic separable primary groups with unbounded basic subgroups of cardinality not exceeding{2^{\aleph_{0}}}, where the cotorsion hull of each group is not fully transitive.

Selected semitransitive constructions in Algonquian

The present paper surveys a number of selected constructions in Algonquian languages that fall between those expressing transitivity and those expressing intransitivity (Hopper & Thompson 1980; Dryer 2007). Socalled passives are mostly agentless and show different kinds of allomorphy in the particular languages. Antipassives are not fully understood yet but seem to be more idiosyncratic than passives, and are not found everywhere in the family. Lastly, systematic mismatches between morphological and syntactic valency (similar to constructions found in Oceanic and other languages) seem to play an important role in the inventory of constructions used to express less than full transitivity in Algonquian.

On commutator fully transitive Abelian groups

There are two rather natural questions which arise in connection with the endomorphism ring of an Abelian group: when is the ring generated by its commutators, and when is the ring additively generated by its commutators? The current work explores these two problems for arbitrary Abelian groups. This leads in a standard way to consideration of two improved versions of Kaplansky's notion of full transitivity, which we call