9 citations · 34 across the 60 of their papers we have counts for
8 papers · 1 filter
The Keisler-Shelah isomorphism theorem and the continuum hypothesis II
Mohammad Golshani, Saharon Shelah
We continue the investigation started in [Sh:1215] about the relation between the Keilser-Shelah isomorphism theorem and the continuum hypothesis. In particular, we show it is cons…
Graphs represented by Ext
Mohsen Asgharzadeh, Mohammad Golshani, Saharon Shelah
This paper opens and discusses the question originally due to Daniel Herden, who asked for which graph we can find a family of abelian groups such t…
Completeness of the Gödel-Löb provability logic for the filter sequence of normal measures
Mohammad Golshani, Reihane Zoghifard
Assuming the existence of suitable large cardinals, we show it is consistent that the Provability logic is complete with respect to the filter sequence of normal meas…
The Keisler-Shelah isomorphism theorem and the continuum hypothesis
Mohammad Golshani, Saharon Shelah
We show that if for any two elementary equivalent structures of size at most continuum in a countable language, $\mathbf{M}^ω/ \mathcal{U} \simeq \mathbf{N…
Kaplansky Test Problems for -Modules in ZFC
Mohsen Asgharzadeh, Mohammad Golshani, Saharon Shelah
Fix a ring and look at the class of left -modules and naturally, we restrict ourselves to the case of rings such that this class is not too similar to the case is…
From Shelah's block-content to Hales-Jewett
Mohammad Golshani, Mostafa Mirabi, Saharon Shelah
We study the quantitative relationship between the Hales-Jewett numbers and Shelah's block-content canonization functions. Block-content canonization yields a block subspace on whi…
Combinatorial and number-theoretic properties of generic reals
Will Brian, Mohammad Golshani
We discuss some properties of Cohen and random reals. We show that they belong to any definable partition regular family, and hence they satisfy most "largeness" properties studied…
Two remarks on Merimovich's model of the total failure of GCH
Mohammad Golshani
Let denote the Merimovich's model in which for each infinite cardinal . We show that in the following hold: (1) Shelah's strong hypothesis fails at all singu…