3 citations · 3 across the 8 of their papers we have counts for
8 papers
Linked sheaves of modules
Farhad Rahmati, Khadijeh Sayyari
We introduce a notion of linkage for sheaves of modules on connected Noetherian schemes, extending classical linkage of modules. Linkage is defined for stable sheaves admitting fin…
Linkage of sheaves of modules
Farhad Rahmati, Khadijeh Sayyari
Inspired by the works in linkage theory of modules, we define the concept of linkage of sheaves of modules as a generalization of linkage of modules. Thus, we expressed it in geome…
Symbolic Powers and Symbolic Rees Algebras of Binomial Edge Ideals of Some Classes of Block Graphs
Iman Jahani, Shamila Bayati, Farhad Rahmati
In this paper, we investigate some properties of symbolic powers and symbolic Rees algebras of binomial edge ideals associated with some classes of block graphs. First, it is shown…
Gapset Extensions, Theory and Computations
Arman Ataei Kachouei, Farhad Rahmati
In this paper we extend some set theoretic concepts of numerical semigroups for arbitrary sub-semigroups of natural numbers. Then we characterized gapsets which leads to a more eff…
The Limit Space of Self-similar Groups and Schreier graphs
Bozorgmehr Vaziri, Farhad Rahmati
The present paper investigates the limit -space generated by the self-similar action of automatic groups on a regular rooted tree. The limit space $\mathcal{J}…
Quantum resistant multi-signature scheme with optimal communication round: A Blockchain-based approach
Hamidreza Rahmati, Farhad Rahmati
Blockchain is a decentralized network to increase trust, integrity, and transparency of transactions. With the exponential growth of transactions in the realm of Blockchain, especi…
On the Equality of Symbolic and Ordinary Powers of Binomial Edge Ideals
Iman Jahani, Shamila Bayati, Farhad Rahmati
In this paper, we investigate whether the symbolic and ordinary powers of a binomial edge ideal are equal. We show that the equality holds for every…
Comparison of symbolic and ordinary powers of parity binomial edge ideals
Nadia Taghipour, Shamila Bayati, Farhad Rahmati
In this paper, we investigate when symbolic and ordinary powers of the parity binomial edge ideal of a graph fail to be equal. It turns out that if is the parity…