1 citations · 1 across the 11 of their papers we have counts for
13 papers
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…
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…
Strongly compct diagonal Prikry forcing
Mohammad Golshani
We define a version of Gitik-Sharon diagonal Prikry forcing using a strongly compact cardinal, and prove its basic properties.
Changing measurable into small accessible cardinals
Mohammad Golshani
We give a detailed proof of the properties of the usual Prikry type forcing notion for turning a measurable cardinal into .
The tree property at double successors of singular cardinals of uncountable cofinality with infinite gaps
Mohammad Golshani, Alejandro Poveda
Assuming the existence of a strong cardinal , a weakly compact cardinal above it and we force a generic extension in which is a singular strong limit cardinal of…