Multiplicative formulas
type: Item
instance of: scholarly article
title: Multiplicative formulas
zbMATH Open document ID: 0805.03014
DOI: 10.1007/BF02260877
author: A. I. Omarov
published in: Algebra and Logic
publication date: 1994-05-18T00:00:00Z
review text: The definition of a multiplicative formula is given. Some results which are analogues of theorems proved in papers of \textit{E. A. Palyutin} and \textit{S. S. Starchenko} [Tr. Inst. Mat. 8, 108-162 (1988; Zbl 0672.03020)] and the author [Dokl. Akad. Nauk SSSR 319, No. 1, 58-60 (1991; Zbl 0790.03033)] are obtained here. Partially, a stable multiplicative theory (i.e. a theory which satisfies the condition: if \(M\) is a \(T\)-model then \(M^ \omega\) is a \(T\)-model, too) is proved to be \(P\)-normal, where \(P\) is the set of \(T\)-formulas filtered with respect to filters containing atomless elements.
Mathematics Subject Classification ID: 03C20
Mathematics Subject Classification ID: 03C45
zbMATH DE Number: 561010
zbMATH Keywords: ultraproduct
zbMATH Keywords: stable theory
zbMATH Keywords: multiplicative formula
zbMATH Keywords: multiplicative theory
zbMATH Keywords: filters
MaRDI profile type: Publication
cites work: Q4695944
cites work: Q4700633
cites work: Atomic compactness in $ℵ_1$ - categorical Horn theories
full work available at URL: https://doi.org/10.1007/bf02260877
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description: scientific article; zbMATH DE number 561010