Extensions of elementary duality
type: Item
instance of: scholarly article
title: Extensions of elementary duality
zbMATH Open document ID: 0801.03028
DOI: 10.1016/0022-4049(94)90079-5
author: Martin Ziegler
author: Mike Prest
author: Philipp Rothmaler
published in: Journal of Pure and Applied Algebra
publication date: 1994-12-05T00:00:00Z
review text: Elementary duality of pp-formulas for modules [see \textit{I. Herzog}, Trans. Am. Math. Soc. 340, 37-69 (1993), and \textit{M. Prest}, Model theory and modules (Lond. Math. Soc. Lect. Note Ser. 130) (1988; Zbl 0634.03025)] is extended to abelian structures and to some infinitary formulas and theories. The authors also give a relationship between elementary duality and a categorical duality. They finally give new proofs of known algebraic facts about absolutely pure and flat modules.
Mathematics Subject Classification ID: 03C60
Mathematics Subject Classification ID: 16B70
Mathematics Subject Classification ID: 03C75
Mathematics Subject Classification ID: 16D40
zbMATH DE Number: 561570
zbMATH Keywords: elementary duality of pp-formulas
zbMATH Keywords: infinitary theories
zbMATH Keywords: abelian structures
zbMATH Keywords: infinitary formulas
zbMATH Keywords: categorical duality
reviewed by: Roger Villemaire
MaRDI profile type: Publication
full work available at URL: 0022-4049(94)90079-5
OpenAlex ID: W2044649391
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description: scientific article; zbMATH DE number 561570