22 citations · 30 across the 18 of their papers we have counts for
18 papers
An axiomatic construction of an almost full embedding of the category of graphs into the category of R-objects
Rüdiger Göbel, Adam J. Przeździecki
We construct embeddings G of the category of graphs into categories of R-modules over a commutative ring R which are almost full in the sense that the maps induced by the functoria…
Cellular covers of cotorsion-free modules
Rüdiger Göbel, José L. Rodríguez, Lutz Strüngmann
In this paper we improve recent results dealing with cellular covers of -modules. Cellular covers (sometimes called co-localizations) come up in the context of homotopical local…
Generalized E-Algebras via lambda-Calculus I
Rüdiger Göbel, Saharon Shelah
An R-algebra A is called E(R)-algebra if the canonical homomorphism from A to the endomorphism algebra End_RA of the R-module {}_R A, taking any a in A to the right multiplication…
Absolutely Indecomposable Modules
Rüdiger Göbel, Saharon Shelah
A module is called absolutely indecomposable if it is directly indecomposable in every generic extension of the universe. We want to show the existence of large abelian groups that…
Generalized E-Rings
Rüdiger Göbel, Saharon Shelah, Lutz Strüngmann
A ring R is called an E-ring if the canonical homomorphism from R to the endomorphism ring End(R_Z) of the additive group R_Z, taking any r in R to the endomorphism left multiplica…
Uniquely Transitive Torsion-free Abelian Groups
Rüdiger Göbel, Saharon Shelah
We will answer a question raised by Emmanuel Dror Farjoun concerning the existence of torsion-free abelian groups G such that for any ordered pair of pure elements there is a uniqu…