Extensions of elementary duality (Q1321049)
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scientific article; zbMATH DE number 561570
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Extensions of elementary duality |
scientific article; zbMATH DE number 561570 |
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Extensions of elementary duality (English)
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5 December 1994
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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.
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elementary duality of pp-formulas
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infinitary theories
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abelian structures
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infinitary formulas
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categorical duality
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