On injectivity of natural homomorphisms of Witt rings
| Autor: | Ciemała, Marzena, Szymiczek, Kazimierz |
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| Jazyk: | angličtina |
| Rok vydání: | 2007 |
| Předmět: | |
| Popis: | We study the homomorphism WO -> WK between the Witt ring of a domain O and the Witt ring of its field of fractions K in the case when O is not integrally closed. We give sufficient conditions for the noninjectivity of this homomorphism by constructing nonzero elements in the kernel. In particular, when K is an algebraic number field and O is a nonmaximal order in K with even conductor, then the ring homomorphism WO -> WK is not injective. |
| Databáze: | OpenAIRE |
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