-projective resolutions and an Azumaya theorem for a class of mixed abelian groups
The construction of -solvable Abelian groups
Extension functors on the category of -solvable abelian groups
Homomorphisms between -projective Abelian groups and left Kasch-rings
Glaz and Wickless introduced the class of mixed abelian groups which have finite torsion-free rank and satisfy the following three properties: i) is finite for all primes , ii) is isomorphic to a pure subgroup of , and iii) is torsion. A ring is a left Kasch ring if every proper right ideal of has a non-zero left annihilator. We characterize the elements of such that is a left Kasch ring, and discuss related results.
Butler groups of infinite rank and axiom 3
Zero-one matrices with an application to abelian groups
A class of torsion-free abelian groups characterized by the ranks of their socles
Butler groups formed by factoring a completely decomposable group by a rank one group have been studied extensively. We call such groups, bracket groups. We study bracket modules over integral domains. In particular, we are interested in when any bracket -module is tensor a bracket group.
A note on coflat abelian groups
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