Add to ORKGAbstract.For two commutative quadratic extensions over a commutative ring,if the trace forms are isometric then are these algebras isomorphic?If 2 is a non-zerodivisor then the answer is yes.If 2=0,the answer is no.And on the other case,we shall give some examples.2つの2次拡大多元環について，trace formが計量同型ならば多元環として同型であろうか．この問題の解答を与えた
Izhboldin and Karpenko proved in Math. Z. (234 (2000), 647-695, Theorem 16.10) that any quadratic fo...
Integral trace forms associated to cubic extensions Guillermo Mantilla-Soler Given a nonzero integer...
AbstractWe show that one can find two nonisomorphic curves over a field K that become isomorphic to ...
AbstractLet F be a number field. Let LF be a field extension of degree m and let TrLF be the trace m...
Abstract. We give a short, elementary, and characteristic independent proof of the criterion for mot...
In this monograph the authors extend the classical algebraic theory of quadratic forms over fields t...
International audienceTwo different proofs are given showing that a quaternion algebra defined over ...
International audienceA fundamental result of Springer says that a quadratic form over a field of ch...
AbstractA commutative ring A has quadratic stable range 1 (qsr(A) = 1) if each primitive binary quad...
. The splitting pattern of a quadratic form q over a field k consists of all distinct Witt indices t...
AbstractIn a Galois extension of odd prime degree K/Q we get a Galois module A on which the trace fo...
The association of algebraic objects to forms has had many important applications in number theory. ...
If R is a complete discrete valuation ring, then every quadratic space over R[T] is extended from R....
Let k be a field of characteristic ≠ 2, and let G be a finite group. The aim of this article is to g...
Let k be a field of characteristic $\neq$ 2, and let G be a finite group. The aim of this article is...
Izhboldin and Karpenko proved in Math. Z. (234 (2000), 647-695, Theorem 16.10) that any quadratic fo...
Integral trace forms associated to cubic extensions Guillermo Mantilla-Soler Given a nonzero integer...
AbstractWe show that one can find two nonisomorphic curves over a field K that become isomorphic to ...
AbstractLet F be a number field. Let LF be a field extension of degree m and let TrLF be the trace m...
Abstract. We give a short, elementary, and characteristic independent proof of the criterion for mot...
In this monograph the authors extend the classical algebraic theory of quadratic forms over fields t...
International audienceTwo different proofs are given showing that a quaternion algebra defined over ...
International audienceA fundamental result of Springer says that a quadratic form over a field of ch...
AbstractA commutative ring A has quadratic stable range 1 (qsr(A) = 1) if each primitive binary quad...
. The splitting pattern of a quadratic form q over a field k consists of all distinct Witt indices t...
AbstractIn a Galois extension of odd prime degree K/Q we get a Galois module A on which the trace fo...
The association of algebraic objects to forms has had many important applications in number theory. ...
If R is a complete discrete valuation ring, then every quadratic space over R[T] is extended from R....
Let k be a field of characteristic ≠ 2, and let G be a finite group. The aim of this article is to g...
Let k be a field of characteristic $\neq$ 2, and let G be a finite group. The aim of this article is...
Izhboldin and Karpenko proved in Math. Z. (234 (2000), 647-695, Theorem 16.10) that any quadratic fo...
Integral trace forms associated to cubic extensions Guillermo Mantilla-Soler Given a nonzero integer...
AbstractWe show that one can find two nonisomorphic curves over a field K that become isomorphic to ...