66 citations · 325 across the 49 of their papers we have counts for
37 papers · 1 filter
Primitive 4-generated axial algebras of Jordan type
Tom De Medts, Louis Rowen, Yoav Segev
We show that primitive 4-generated axial algebras of Jordan type are at most 81-dimensional.
Representability of relatively free affine algebras over a Noetherian ring
Alexei Kanel-Belov, Louis Rowen, Uzi Vishne
Over the years questions have arisen about T-ideals of (noncommutative) polynomials. But when evaluating a noncentral polynomial in subalgebras of matrices, one often has little co…
Semiring systems arising from hyperrings
Marianne Akian, Stephane Gaubert, Louis Rowen
Hyperfields and systems are two algebraic frameworks which have been developed to provide a unified approach to classical and tropical structures. All hyperfields, and more general…
Structure of primitive axial algebras
Louis Halle Rowen, Yoav Segev
"Fusion rules" are laws of multiplication among eigenspaces of an idempotent. This terminology is relatively new and is closely related to primitive axial algebras, introduced rece…
-semiring pairs
Jaiung Jun, Kalina Mincheva, Louis Rowen
We develop a general axiomatic theory of algebraic pairs, which simultaneously generalizes several algebraic structures, in order to bypass negation as much as feasible. We investi…
Axes in non-associative algebras
Louis Rowen, Yoav Segev
"Fusion rules" are laws of multiplication among eigenspaces of an idempotent. This terminology is relatively new and is closely related to axial algebras, introduced recently by Ha…