3 citations · 9 across the 30 of their papers we have counts for
4 papers · 1 filter
Abstract sheaf theory
Abolfazl Tarizadeh
In this article, the theory of sheaves is studied from a categorical point of view. This perspective vastly generalizes the usual theory of sheaves of sets to a more abstract setti…
A fresh look into monoid rings and formal power series rings
Abolfazl Tarizadeh
In this article, the ring of polynomials is studied in a systematic way through the theory of monoid rings. As a consequence, this study provides natural and canonical approaches i…
Zariski compactness of minimal spectrum and flat compactness of maximal spectrum
Abolfazl Tarizadeh
In this article, Zariski compactness of the minimal spectrum and flat compactness of the maximal spectrum are characterized.
On the projectivity of finitely generated flat modules
Abolfazl Tarizadeh
In this paper, the projectivity of a finitely generated flat module of a commutative ring is studied through its exterior powers and invariant factors and then various new results…