3 citations · 9 across the 30 of their papers we have counts for
4 papers · 1 filter
The upper topology and its relation with the projective modules
Abolfazl Tarizadeh
In this paper, first we obtain some new and interesting results on projective modules and on the upper topology of an ordinal number. Then it is shown that the rank map of a locall…
New methods toward the patch and flat topologies with applications
Abolfazl Tarizadeh
In this paper, we use elementary and simple ideas which are based on the significant applications of the power set ring to rebuild and study the patch topology on the prime spectru…
On flat epimorphisms of rings and pointwise localizations
Abolfazl Tarizadeh
In this paper all rings are commutative. We prove some new results on flat epimorphisms of rings and pointwise localizations. Especially among them, it is proved that a ring is…
Gabriel localization theory and its applications
Abolfazl Tarizadeh
In this article first we develop the Gabriel localizations (abbreviated as G-localizations) for commutative rings, specially some new results in this direction are proven. Then, as…