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

All Science Journal Classification (ASJC) codes

  • Logic

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