3 papers
math.RT2025
Strongly flat modules via universal localization
Javad Asadollahi, Rasool Hafezi, Somayeh Sadeghi
In this paper, we investigate a non-commutative version of strongly flat modules, which is based on the concept of universal localization introduced by Cohn. We consider a set …
math.AC2025
The Homotopy Category of Strongly flat modules
Javad Asadollahi, Somayeh Sadeghi
In this paper, we plan to build upon significant results by Amnon Neeman regarding the homotopy category of flat modules to study ${\mathbb{K}}({S\rm{SF}}\mbox{-}R)$, the homotopy…
math.AC2024
Strong Purity and Phantom Morphisms
R. Hafezi, J. Asadollahi, S. Sadeghi +1
Let be a commutative ring and be a multiplicative subset. We introduce and study the concept of -purity based on the notion of -strongly flat modules. The…