Witt functor of a quadratic order

Author:

Rothkegel Beata1

Affiliation:

1. Institute of Mathematics University of Silesia Bankowa , 14 PL–40-007 , Katowice , Poland

Abstract

Abstract The main theorem of the paper gives an example of a non-maximal order 𝓞 in a quadratic number field K such that the homomorphism W𝓞 → WK of Witt rings is injective.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Reference9 articles.

1. Borevich, Z.—Shafarevich, I.: Number Theory, Nauka, Moscow, 1985 (in Russian).

2. Ciemała, M.—Szymiczek, K.: On injectivity of natural homomorphisms of Witt rings, Ann. Math. Sil. 21 (2007), 15–30.

3. Geroldinger, A.—Halter-Koch, F.—Kaczorowski, J.: Non-unique factorizations in orders of global fields, J. Reine Angew. Math. 459 (1995), 89–118.

4. Knebusch, M.: Grothendieck- und Wittringe von nichtausgearteten symmetrischen Bilinearformen, S.-B. Heidelberger Akad. Wiss. Math.-Natur. Kl. 1969/1970, pp. 93–157.

5. Koprowski, P.: Witt Morphisms, Wydawnictwo Uniwersytetu Śląskiego, Katowice, 2012.

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1. Natural homomorphism of Witt rings of a certain cubic order;International Journal of Number Theory;2023-05-20

2. Maximality of orders in Dedekind domains. II;Acta Mathematica Hungarica;2021-06-12

3. Maximality of orders in Dedekind domains;Journal of Algebra and Its Applications;2019-07-01

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