2 citations · 5 across the 18 of their papers we have counts for
19 papers
Geometry of Supermanifolds through Sheaf and Ringed Space Methods
Mousa Rahseed, Michel Egeileh, Abdallah Assi
This paper introduces the concept of supermanifolds, viewed as the super-analogues of classical manifolds. Instead of treating supermanifolds as sets of points, we adopt an algebra…
New log-majorization results concerning eigenvalues and singular values and a complement of a norm inequality
Mohammad M. Ghabries, Hassane Abbas, Bassam Mourad +1
The purpose of this paper is to establish new log-majorization results concerning eigenvalues and singular values which generalize some previous work related to a conjecture and an…
Semigroup associated with a free polynomial
Ali Abbas, Abdallah Assi
Let be an algebraically closed field of characteristic zero and let be the ring of formal power series in several variables with ex…
The plane Jacobian conjecture for rational curves
Abdallah Assi
Let K be an algebraically closed field of characteristic zero and let f(x,y) be a nonzero polynomial of K[x,y]. We prove that if the generic element of the family is a r…
On canonical bases of a formal ${\mathbb K}-algebra
Abdallah Assi
We study canonical bases of a subalgebra over a field , and we associate with ${\b…
Canonical bases of modules over one dimensional k-algebras
A Abbas, A Assi, Pedro A Garcıa-Sánchez
Let K be a field and denote by K[t], the polynomial ring with coefficients in K. Set A = K[f1,. .. , fs], with f1,. .. , fs K[t]. We give a procedure to calculate the monoid…