6 citations · 11 across the 13 of their papers we have counts for
4 papers · 1 filter
Fuchs' problem for endomorphisms of abelian groups
Sunil K. Chebolu, Keir Lockridge
László Fuchs posed the following question: which abelian groups arise as the group of units in a ring? In this paper, we investigate a related question: for such realizable groups…
How many units can a commutative ring have?
Sunil K. Chebolu, Keir Lockridge
Laszlo Fuchs posed the following problem in 1960, which remains open: classify the abelian groups occurring as the group of all units in a commutative ring. In this note, we provid…
Fuchs' problem for indecomposable abelian groups
Sunil K. Chebolu, Keir Lockridge
More than 50 years ago, Laszlo Fuchs asked which abelian groups can be the group of units of a commutative ring. Though progress has been made, the question remains open. We provid…
Triangulations of projective modules
Mark Hovey, Keir H. Lockridge
We show that the category of projective modules over a graded commutative ring admits a triangulation with respect to module suspension if and only if the ring is a finite product…