5 papers
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 …
Covering techniques in higher Auslander-Reiten theory
Javad Asadollahi, Rasool Hafezi, Zohreh Sourani +1
This paper investigates the behavior of -precluster tilting subcategories under the push-down functor in the context of Galois coverings of locally bounded categories. Building…
On the monomorphism category of large modules
Rasool Hafezi, Javad Asadollahi, Razieh Vahed +1
Let be an associative ring with identity. This paper investigates the structure of the monomorphism category of large -modules and establishes connections with the category…
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…
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…