1 citations · 1 across the 7 of their papers we have counts for
8 papers
Matrix roots of order n of a multivariate polynomial
Jordan Noumi Bakop, Yves Baudelaire Fomatati
In this paper, we construct the matrix nth root of a multivariate polynomial with coefficients in a field K which possesses an nth root of unity. Moreover, we explain why this conc…
On 3-matrix factorizations of polynomials
Yves Baudelaire Fomatati
Let and where is a field. %commutative ring with unity. In this paper, we propose a method showing how to o…
A note on the bicategory of Landau-Ginzburg models (LGk)
Yves Baudelaire Fomatati
The bicategory of Landau-Ginzburg models denoted by LGK possesses adjoints and this helps in explaining a certain duality that exists in the setting of Landau-Ginzburg models in te…
Some properties of n-matrix factorizations of polynomials
Yves Fomatati
Let where is a field. In this paper, we give some properties of -matrix factorizations of polynomials in . We also derive some results gi…
Refined multiplicative tensor product of matrix factorizations
Yves Fomatati
An algorithm for matrix factorization of polynomials was proposed in \cite{fomatati2022tensor} and it was shown that this algorithm produces better results than the standard method…
Some applications of the multiplicative tensor product of matrix factorizations
Yves Fomatati
The notion of semi-unital semi-monoidal category was defined a couple of years ago using the so called "Takahashi tensor product" and so far, the only example of it in the literatu…
Necessary conditions for the existence of Morita Contexts in the bicategory of Landau-Ginzburg Models
Yves Fomatati
We use a matrix approach to study the concept of Morita context in the bicategory of Landau-Ginzburg models on a particular class of objects. In fact, we first u…
On tensor products of matrix factorizations
Yves Baudelaire Fomatati
Let be a field. Let and be nonzero elements. If (resp. ) is a matrix factorization of (resp. ), Yoshino ha…