1 citations · 2 across the 6 of their papers we have counts for
7 papers
An alternative approach to the concept of separability in Galois theory
M. G. Mahmoudi
The notion of a separable extension is an important concept in Galois theory. Traditionally, this concept is introduced using the minimal polynomial and the formal derivative. In t…
Cayley parametrization and the rotation group over a non-archimedean pythagorean field
M. G. Mahmoudi
Using Cayley transform, we show how to construct rotation matrices \emph{infinitely near} the identity matrix over a non-archimedean pythagorean field. As an application, an altern…
On totally decomposable algebras with involution in characteristic two
M. G. Mahmoudi, A. -H. Nokhodkar
A necessary and sufficient condition for a central simple algebra with involution over a field of characteristic two to be decomposable as a tensor product of quaternion algebras w…
On split products of quaternion algebras with involution in characteristic two
M. G. Mahmoudi, A. -H. Nokhodkar
The question of whether a split tensor product of quaternion algebras with involution over a field of characteristic two can be expressed as a tensor product of split quaternion al…
Vertex decomposability and regularity of very well-covered graphs
Mohammad Mahmoudi, Amir Mousivand, Marilena Crupi +3
A graph is well-covered if it has no isolated vertices and all the maximal independent sets have the same cardinality. If furthermore two times this cardinality is equal to $|V…
Orthogonal symmetries and Clifford algebras
M. G. Mahmoudi
Involutions of the Clifford algebra of a quadratic space induced by orthogonal symmetries are investigated.