This article investigates the structure of quadratic forms and of division algebras of exponent two over fields of characteristic different from two with the property that the third power of the fundamental ideal in the associated Witt ring is torsion free
AbstractIn his book on compositions of quadratic forms, Shapiro asks whether a quadratic form decomp...
Abstract. Given a field F, an étale extension L/F and an Azumaya algebra A/L, one knows that there a...
In this thesis, we further investigate the decomposability of exponent 2 central simple algebras ove...
AbstractLet K be a field of characteristic different from 2. In the algebraic theory of quadratic fo...
We present a set of generators of the full annihilator ideal for the Witt ring of an arbitrary field...
AbstractThe Witt ring of a field serves as an effective medium to study certain arithmetical invaria...
Two different proofs are given showing that a quaternion algebra Q defined over a quadratic ́etale e...
We generalize Knuth's construction of Case I semifields quadratic over a weak nucleus, also known as...
Abstract. This is a short survey of the main known results concerning annihilating poly-nomials for ...
Let k be a field of characteristic different from 2 containing a primitive 4-th root of unity. We sh...
Izhboldin and Karpenko proved in Math. Z. (234 (2000), 647-695, Theorem 16.10) that any quadratic fo...
We study the decomposition of central simple algebras of exponent 2 into tensor products of quaterni...
Abstract. In his book on compositions of quadratic forms, Shapiro asks whether a quadratic form deco...
We give a characterization of decomposable polynomial valued 2-forms in terms of their components. S...
Abstract. In his book on compositions of quadratic forms, Shapiro asks whether a quadratic form deco...
AbstractIn his book on compositions of quadratic forms, Shapiro asks whether a quadratic form decomp...
Abstract. Given a field F, an étale extension L/F and an Azumaya algebra A/L, one knows that there a...
In this thesis, we further investigate the decomposability of exponent 2 central simple algebras ove...
AbstractLet K be a field of characteristic different from 2. In the algebraic theory of quadratic fo...
We present a set of generators of the full annihilator ideal for the Witt ring of an arbitrary field...
AbstractThe Witt ring of a field serves as an effective medium to study certain arithmetical invaria...
Two different proofs are given showing that a quaternion algebra Q defined over a quadratic ́etale e...
We generalize Knuth's construction of Case I semifields quadratic over a weak nucleus, also known as...
Abstract. This is a short survey of the main known results concerning annihilating poly-nomials for ...
Let k be a field of characteristic different from 2 containing a primitive 4-th root of unity. We sh...
Izhboldin and Karpenko proved in Math. Z. (234 (2000), 647-695, Theorem 16.10) that any quadratic fo...
We study the decomposition of central simple algebras of exponent 2 into tensor products of quaterni...
Abstract. In his book on compositions of quadratic forms, Shapiro asks whether a quadratic form deco...
We give a characterization of decomposable polynomial valued 2-forms in terms of their components. S...
Abstract. In his book on compositions of quadratic forms, Shapiro asks whether a quadratic form deco...
AbstractIn his book on compositions of quadratic forms, Shapiro asks whether a quadratic form decomp...
Abstract. Given a field F, an étale extension L/F and an Azumaya algebra A/L, one knows that there a...
In this thesis, we further investigate the decomposability of exponent 2 central simple algebras ove...
DOI
Add to ORKG