We establish the equivalence between the problem of existence of associative bilinear forms and the problem of solvability in commutative power-associative finite-dimensional nil-algebras. We use the tensor product to find ...

We discuss an algebraic theory for generalized Jordan chains and partial signatures, that are invariants associated to sequences of symmetric bilinear forms on a vector space. We introduce an intrinsic notion of partial ...

In this work we will make applications of Linear Algebra to conics and quadrics. We will discuss the rotation and translation of these particular curves and surfaces and understand why the rotation process relates to with ...

Let F be a field of characteristic 2 and W-q(F) be the Witt group of nonsingular quadratic forms over F. Let phi be a bilinear Pfister form over F and L be a multiquadratic extension of F of separability degree less than ...

Let F be a eld of characteristic 2. For a quadratic form over F, let F( ) denote the function eld of the projective quadric given by . If B is a bilinear form over F, we denote by F(B) the function eld of the ...

In this paper we solve a long standing problem about the multivariable Rubio de Francia extrapolation theorem for the multilinear Muckenhoupt classes , which were extensively studied by Lerner et al. and which are the ...