Chain conditions in dependent groups

Itay Kaplan; Saharon Shelah

doi:10.1016/j.apal.2013.06.014

Chain conditions in dependent groups

Itay Kaplan^*
, Saharon Shelah

^*Corresponding author for this work

Einstein Institute of Mathematics

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

11 Scopus citations

Abstract

In this note we prove and disprove some chain conditions in type definable and definable groups in dependent, strongly dependent and strongly² dependent theories.

Original language	English
Pages (from-to)	1322-1337
Number of pages	16
Journal	Annals of Pure and Applied Logic
Volume	164
Issue number	12
DOIs	https://doi.org/10.1016/j.apal.2013.06.014
State	Published - Dec 2013

Keywords

Chain conditions
Dependent theories
Dp-Rank
NIP
Strongly dependent theories
Type definable groups

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10.1016/j.apal.2013.06.014

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title = "Chain conditions in dependent groups",

abstract = "In this note we prove and disprove some chain conditions in type definable and definable groups in dependent, strongly dependent and strongly2 dependent theories.",

keywords = "Chain conditions, Dependent theories, Dp-Rank, NIP, Strongly dependent theories, Type definable groups",

author = "Itay Kaplan and Saharon Shelah",

year = "2013",

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AU - Shelah, Saharon

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AB - In this note we prove and disprove some chain conditions in type definable and definable groups in dependent, strongly dependent and strongly2 dependent theories.

KW - Chain conditions

KW - Dependent theories

KW - Dp-Rank

KW - NIP

KW - Strongly dependent theories

KW - Type definable groups

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AN - SCOPUS:84883052326

SN - 0168-0072

VL - 164

SP - 1322

EP - 1337

JO - Annals of Pure and Applied Logic

JF - Annals of Pure and Applied Logic

IS - 12

ER -

Chain conditions in dependent groups

Abstract

Keywords

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