Nonassociative right hoops

Left-Right Gauge Model in Nonassociative Geometry

We reformulate the left-right gauge model of Pati-Mohapatra using nonassociative geometry approach. At the tree level we obtain the mass relations MW = 1 2 mt, MH = 3 2 mt and the mixing angles are sin θW = 3 8 and sin θs = 3 5 , which are identical to the ones obtained in SO(10) GUT .

Hoops News

T hink philosophically for a moment: As sports medicine clinicians, what is our most important function? Some might say diagnosing illnesses. That's a hard one to argue, especially when it comes to cardiac conditions and the risk of sudden death. Others might focus on rehabilitation and training—no doubt major components of what we do. Many of us focus on injury prevention: keeping athletes on ...

Pseudo Hoops

Pseudo-hoops are algebraic structures introduced in [1, 2] by B. Bosbach under the name of complementary semigroups. This is a formalization of the paper [4]. Following [4] we prove some properties of pseudo-hoops and we define the basic concepts of filter and normal filter. The lattice of normal filters is isomorphic with the lattice of congruences of a pseudo-hoop. We also study some importan...

On Pocrims and Hoops

Pocrims and suitable specialisations thereof are structures that provide the natural algebraic semantics for a minimal affine logic and its extensions. Hoops comprise a special class of pocrims that provide algebraic semantics for what we view as an intuitionistic analogue of the classical multi-valued Lukasiewicz logic. We present some contributions to the theory of these algebraic structures....

Nonassociative Algebras