http://hdl.handle.net/20.500.12128/365
Tytuł: | On injectivity of natural homomorphisms of Witt rings |
Autor: | Ciemała, Marzena Szymiczek, Kazimierz |
Słowa kluczowe: | Witt Ring; Homomoprhism |
Data wydania: | 2007 |
Źródło: | Annales Mathematicae Silesianae, Nr 21 (2007), s. 15-30 |
Abstrakt: | 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. |
URI: | http://hdl.handle.net/20.500.12128/365 |
ISSN: | 0860-2107 |
Pojawia się w kolekcji: | Artykuły (WNŚiT) |
Plik | Opis | Rozmiar | Format | |
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Ciemala_On_injectivity_of_natural_homomorphism.pdf | 649,07 kB | Adobe PDF | Przejrzyj / Otwórz |
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