Abstract. This is a short survey of the main known results concerning annihilating poly-nomials for the Witt ring of quadratic forms over a field. 2000 Mathematics Subject Classification. 11E81, 12F10, 19A22. Let F be a field of characteristic different from two. We recall briefly the Witt ring W(F) of quadratic forms over F. Consider first the set S of isometry classes of non-singular quadratic forms over F. We write G(F) for the free abelian group generated by the set S. We factor out by the subgroup generated by all elements of the form {φ1 ⊥ φ2} − {φ1} − {φ2} where φ1 and φ2 are nonsingular quadratic forms, ⊥ de-notes the orthogonal sum of forms (defined via the direct sum of the underlying vector spaces), and {φ} denotes the isometry ...
Abstract. This paper presents fundamental algorithms for computational theory of quadratic forms ove...
This thesis is devoted to the study of different aspects of valuation theory. The first chapter fits...
Abstract. We prove Hoffmann’s conjecture determining the possible values of the first Witt index of ...
This is a short survey of the main known results concerning annihilating polynomials for the Witt ri...
Let K be a field with char(K) ≠ 2. The Witt-Grothendieck ring (K) and the Witt ring W (K) of K are b...
Baeza R. Instituto de Matemática y Física,Universidad de Talca,Casilla 747, Talca, Chile.Let F be a ...
AbstractLet F be a field with 2=0, W(F) the Witt ring of symmetric bilinear forms over F and Wq(F) t...
AbstractLet K be a field of characteristic different from 2. In the algebraic theory of quadratic fo...
AbstractThe Witt ring of a field serves as an effective medium to study certain arithmetical invaria...
AbstractThe Witt ring of a field serves as an effective medium to study certain arithmetical invaria...
Abstract. Whenever F is a Henselian valued field whose residue class field F has characteristic diff...
The Witt ring of a field gives the structure of the isometry classes of quadratic forms over that fi...
We present a set of generators of the full annihilator ideal for the Witt ring of an arbitrary field...
The problem of general description of the group of automorphisms of any Witt ring W seems to be very...
The purpose of this note is to prove the following theorem describing the Witt group Wq(K) of quadra...
Abstract. This paper presents fundamental algorithms for computational theory of quadratic forms ove...
This thesis is devoted to the study of different aspects of valuation theory. The first chapter fits...
Abstract. We prove Hoffmann’s conjecture determining the possible values of the first Witt index of ...
This is a short survey of the main known results concerning annihilating polynomials for the Witt ri...
Let K be a field with char(K) ≠ 2. The Witt-Grothendieck ring (K) and the Witt ring W (K) of K are b...
Baeza R. Instituto de Matemática y Física,Universidad de Talca,Casilla 747, Talca, Chile.Let F be a ...
AbstractLet F be a field with 2=0, W(F) the Witt ring of symmetric bilinear forms over F and Wq(F) t...
AbstractLet K be a field of characteristic different from 2. In the algebraic theory of quadratic fo...
AbstractThe Witt ring of a field serves as an effective medium to study certain arithmetical invaria...
AbstractThe Witt ring of a field serves as an effective medium to study certain arithmetical invaria...
Abstract. Whenever F is a Henselian valued field whose residue class field F has characteristic diff...
The Witt ring of a field gives the structure of the isometry classes of quadratic forms over that fi...
We present a set of generators of the full annihilator ideal for the Witt ring of an arbitrary field...
The problem of general description of the group of automorphisms of any Witt ring W seems to be very...
The purpose of this note is to prove the following theorem describing the Witt group Wq(K) of quadra...
Abstract. This paper presents fundamental algorithms for computational theory of quadratic forms ove...
This thesis is devoted to the study of different aspects of valuation theory. The first chapter fits...
Abstract. We prove Hoffmann’s conjecture determining the possible values of the first Witt index of ...