3 papers
math.RA2026
Two axes in non-commutative algebras with a Frobenius form
Yoav Segev
Throughout this paper is a commutative non-associative algebra over a field of characteristic not In addition posses a Frobenius form. We obtain detailed…
math.RA2025
Frobenius forms on weakly primitive axial algebras of Jordan type
Louis Rowen, Yoav Segev
In a previous paper we studied ``weakly primitive axial algebras'' with respect to more general fusion rules, for which at least one axis satisfies the fusion rules. In this contin…
math.RA2024
Weakly primitive axial algebras
Louis Halle Rowen, Yoav Segev
In earlier work we studied the structure of primitive axial algebras of Jordan type (PAJ's), not necessarily commutative, in terms of their primitive axes. In this paper we weaken…