5 papers
On the complexity of finding tensor ranks
Mohsen Aliabadi, Shmuel Friedland
The purpose of this note is to give a linear algebra algorithm to find out if a rank of a given tensor over a field $\F$ is at most over the algebraic closure of $\F$, where $k…
On linear version of an elementary group theory result
Mohsen Aliabadi
Given a cyclic group of order , where is a prime and . It is well-known that the order of its greatest proper subgroup and the number of its gen…
On local matching property in groups and vector space
Mohsen Aliabadi, Mano Vikash Janardhanan
In this paper, we define locally matchable subsets of a group which is derived from the concept of matchings in groups and used as a tool to give alternative proofs for existing re…
A note on matchings in abelian groups
Mohsen Aliabadi, Shiva Soleimany Dizicheh
The question of finding sets of monomials which are removable from a generic homogeneous polynomial through a linear change in its variables was raised by E. K. Wakeford in 1916. T…
On matchable subsets in abelian groups and their linear analogues
Mohsen Aliabadi, Mano Vikash Janardhanan
In this paper, we introduce the notions of matching matrices in groups and vector spaces, which lead to some necessary conditions for existence of acyclic matching in abelian group…