Generalized amalgamation and n-simplicity

Byunghan Kim; Alexei S. Kolesnikov; Akito Tsuboi

doi:10.1016/j.apal.2008.03.005

Generalized amalgamation and n-simplicity

Byunghan Kim, Alexei S. Kolesnikov, Akito Tsuboi

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

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 T^{e q} or T^{h 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 language	English
Pages (from-to)	97-114
Number of pages	18
Journal	Annals of Pure and Applied Logic
Volume	155
Issue number	2
DOIs	https://doi.org/10.1016/j.apal.2008.03.005
Publication status	Published - 2008 Sept

Bibliographical note

Funding Information:
Byunghan Kim was supported by a KOSEF grant R01-2006-000-10638-0.

All Science Journal Classification (ASJC) codes

Logic

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10.1016/j.apal.2008.03.005

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AU - Kolesnikov, Alexei S.

AU - Tsuboi, Akito

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N2 - 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.

AB - 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.

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JO - Annals of Pure and Applied Logic

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ER -

Generalized amalgamation and n-simplicity

Abstract

Bibliographical note

All Science Journal Classification (ASJC) codes

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