7 citations · 22 across the 33 of their papers we have counts for
33 papers
Representing a ring as the endomorphism ring of an abelian group
Mohsen Asgharzadeh, Mohammad Golshani, Saharon Shelah
We investigate Baer's realization problem for almost free abelian groups, focusing on the extent to which rings can be represented as endomorphism rings under strong freeness condi…
First-Order Laws for Random Geometric Graphs on the Torus
Simi Haber, Mostafa Mirabi, Saharon Shelah
Let be the random geometric graph generated by independent uniform points on the -dimensional torus, with adjacency defined by torus -distance at most $…
Limit laws for component-pruned sparse random graphs and percolated tori
Mostafa Mirabi, Saharon Shelah
We prove an zero-one law for a very sparse Erdős-Rényi graph after pruning by component order. Let , where , and delete every component of orde…
HJ numbers revisited
Saharon Shelah
We improve the bounds on the Hales-Jewett numbers to a tower of exponentiations. Earlier it was (that is, iterations of towers which are themselves iterated exponentiations).…
Discontinuous homomophisms without Hamel bases
Paul Larson, Saharon Shelah
We produce a model of ZF + DC in which there exists a discontinuous homomorphism from the real line to itself but no Hamel basis for the real line, and prove a generalization of th…
Model-theoretic Tameness in finite extensions of groups
Yatir Halevi, Saharon Shelah
It is shown that finite-index extensions and finite-index subgroups of -stable groups can be model-theoretically wild. More precisely, there exists an -stable group such…