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On elementary equivalence, isomorphism and isogeny

Pete L. Clark (2006)

Journal de Théorie des Nombres de Bordeaux

Motivated by recent work of Florian Pop, we study the connections between three notions of equivalence of function fields: isomorphism, elementary equivalence, and the condition that each of a pair of fields can be embedded in the other, which we call isogeny. Some of our results are purely geometric: we give an isogeny classification of Severi-Brauer varieties and quadric surfaces. These results are applied to deduce new instances of “elementary equivalence implies isomorphism”: for all genus zero...

On the Brauer monoid of $S_{3}$ .

Aljouiee, Abdulla (2004)

Lobachevskii Journal of Mathematics

On the $n$ -torsion subgroup of the Brauer group of a number field

Hershy Kisilevsky, Jack Sonn (2003)

Journal de théorie des nombres de Bordeaux

Given a number field $K$ Galois over the rational field $ℚ$ , and a positive integer $n$ prime to the class number of $K$ , there exists an abelian extension $L / K$ (of exponent $n$ ) such that the $n$ -torsion subgroup of the Brauer group of $K$ is equal to the relative Brauer group of $L / K$ .

On the Represantation Theory of Artinian Rings and Artins Problems on Division Ring Extensions

Daniel Simson (1999)

Δελτίο της Ελληνικής Μαθηματικής Εταιρίας

Displaying 1 – 4 of 4

On elementary equivalence, isomorphism and isogeny

On the Brauer monoid of S 3 .

On the n -torsion subgroup of the Brauer group of a number field

On the Represantation Theory of Artinian Rings and Artins Problems on Division Ring Extensions

Currently displaying 1 – 4 of 4

On the Brauer monoid of $S_{3}$ .

On the $n$ -torsion subgroup of the Brauer group of a number field