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Title: On injectivity of natural homomorphisms of Witt rings
Authors: Ciemała, Marzena
Szymiczek, Kazimierz
Keywords: Witt Ring; Homomoprhism
Issue Date: 2007
Citation: Annales Mathematicae Silesianae, Nr 21 (2007), s. 15-30
Abstract: 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.
ISSN: 0860-2107
Appears in Collections:Artykuły (WNŚiT)

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