Generalized amalgamation and n-simplicity

Byunghan Kim, Alexei S. Kolesnikov, Akito Tsuboi

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

We study generalized amalgamation properties in simple theories. We formulate a notion of generalized amalgamation in such a way so that the properties are preserved when we pass from T to Te q or Th e q; we provide several equivalent ways of formulating the notion of generalized amalgamation. We define two distinct hierarchies of simple theories characterized by their amalgamation properties; examples are given to show the difference between the hierarchies.

Original languageEnglish
Pages (from-to)97-114
Number of pages18
JournalAnnals of Pure and Applied Logic
Volume155
Issue number2
DOIs
Publication statusPublished - 2008 Sep 1

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Amalgamation
Simplicity
Distinct
Hierarchy

All Science Journal Classification (ASJC) codes

  • Logic

Cite this

Kim, Byunghan ; Kolesnikov, Alexei S. ; Tsuboi, Akito. / Generalized amalgamation and n-simplicity. In: Annals of Pure and Applied Logic. 2008 ; Vol. 155, No. 2. pp. 97-114.
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Generalized amalgamation and n-simplicity. / Kim, Byunghan; Kolesnikov, Alexei S.; Tsuboi, Akito.

In: Annals of Pure and Applied Logic, Vol. 155, No. 2, 01.09.2008, p. 97-114.

Research output: Contribution to journalArticle

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