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

Einstein Institute of Mathematics

The Hebrew University of Jerusalem

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

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

All Science Journal Classification (ASJC) codes

Logic

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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",

month = dec,

doi = "10.1016/j.apal.2013.06.014",

language = "الإنجليزيّة",

volume = "164",

pages = "1322--1337",

journal = "Annals of Pure and Applied Logic",

issn = "0168-0072",

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TY - JOUR

T1 - Chain conditions in dependent groups

AU - Kaplan, Itay

AU - Shelah, Saharon

PY - 2013/12

Y1 - 2013/12

N2 - In this note we prove and disprove some chain conditions in type definable and definable groups in dependent, strongly dependent and strongly2 dependent theories.

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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U2 - 10.1016/j.apal.2013.06.014

DO - 10.1016/j.apal.2013.06.014

M3 - مقالة

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

All Science Journal Classification (ASJC) codes

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