16 citations · 44 across the 21 of their papers we have counts for
26 papers
On the interplay between the Frobenius functor and its dual
Mohammad T. Dibaei, Mohammad Eghbali, Yaser Khalatpour
For a commutative Noetherian ring of prime characteristic, denote by the ring with the left structure given by the Frobenius map. We develop Thomas Marley's work on…
Linkage of modules by reflexive morphisms
Fatemeh Dehghani-Zadeh, Mohammad-T. Dibaei, Arash Sadeghi
In this paper, we introduce and study the notion of linkage of modules by reflexive homomorphisms. This notion unifies and generalizes several known concepts of linkage of modules…
A study of strongly Cohen-Macaulay ideals by delta invariant
Mohammad T. Dibaei, Yaser Khalatpour
Let be a Cohen-Macaulay local ring, a strongly Cohen-Macaulay ideal of . We show that is a maximal Cohen-Macaulay -module by means of the delta-inv…
Some characterizations of special rings by delta-invariant
Mohammad T. Dibaei, Yaser Khalatpour
This paper is devoted to present some characterizations for a local ring to be generically Gorenstein and Gorenstein by means of -invariant and linkage theory.
Linkage of modules with respect to a semidualizing module
Mohammad-T. Dibaei, Arash Sadeghi
The notion of linkage with respect to a semidualizing module is introduced. It is shown that over a Cohen-Macaulay local ring with canonical module, every Cohen-Macaulay module of…
Associated Primes and Syzygies of Linked Modules
Olgur Celikbas, Mohammad T. Dibaei, Mohsen Gheibi +2
Motivated by the notion of geometrically linked ideals, we show that over a Gorenstein local ring , if a Cohen-Macaulay -module of grade is linked to an -module $N…