Let K be an algebraically closed field. Building upon previous work, we classify, up to isomorphism of algebras, quadratic graded twisted tensor products K[x,y] and K[z]. When such algebra is Artin-Schelter regular, identify its point scheme type, in the sense [6]. We also describe which three-dimensional Sklyanin algebras contain a subalgebra isomorphic quantum P1, show that every this family ...

The notion of initial ideal for an a polynomial ring appears in the theory Gröbner basis. Similarly to ideals, we can define algebra subalgebra ring, or more generally Laurent which is used SAGBI (Subalgebra Analogue Bases Ideals) finitely generated not always generated, and no general criterion finite generation known. aim this paper present new class subalgebras having non-finitely algebras. ...

We show that (massive) D = 10 type IIA supergravity possesses a hidden rigid D 9 ≡ SO(9, 9) symmetry and a hidden local SO(9) × SO(9) symmetry upon dimensional reduction to one (time-like) dimension. We explicitly construct the associated locally supersymmetric Lagrangian in one dimension, and show that its bosonic sector, including the mass term, can be equivalently described by a truncation o...