Titlebook: Non-Noetherian Commutative Ring Theory; Scott T. Chapman,Sarah Glaz Book 2000 Springer Science+Business Media Dordrecht 2000 Dimension.Div

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On Generalized Lengths of Factorizations in Dedekind and Krull Domains,“unique factorization”. The concept of the class group and its relation to factorization properties extends also to the more general class of Krull domains. It is within the context of these domains that we consider in this paper general questions concerning the lengths of factorization in the non-UFD setting.

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The Class Group and Local Class Group of an Integral Domain, . is an abelian group, called the (.)class group of R; the Picard group of . is . and the local (.)class group of . is .. If . is a Krull domain, then . is the usual divisor class group of ., and if . is a Prüfer domain, then . is just the ideal class group of .

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Positionieren von Studienarbeiten,nd extends) major symbolic-statistical frameworks such as hidden Markov models (HMMs) [.], probabilistic context-free grammars (PCFGs) [.] and Bayesian networks [.]. The language, PRISM, is intended to model complex symbolic phenomena governed by rules and probabilities based on the . [.]. Programs

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C Basics: Variables and Operators,insulin-dependent (IDDM) and non-insulin-dependent (NIDDM) diabetes mellitus have appeared (. 1989; . et al. 1991; . and . 1995; . 1991, 1995). In this chapter, we will consider: (1) the diabetogenic effects of glucagon; (2) the morphology of the A cells in the islets of Langerhans of diabetic patie