On superstable generic structures
type: Item
instance of: scholarly article
title: On superstable generic structures
zbMATH Open document ID: 1259.03050
author: Koichiro Ikeda
author: Hirotaka Kikyo
published in: Archive for Mathematical Logic
publication date: 2012-09-18T00:00:00Z
review text: The authors modify the construction of the first author [Arch. Math. Logic 51, No. 1--2, 203--211 (2012; Zbl 1247.03054)] of a superstable not \(\omega\)-stable generic ab initio Hrushovski amalgam. While in the former paper the structure constructed has trivial forking, the two structures constructed in the present paper (one with a binary relation and one with a ternary relation) are still properly superstable, but have non-trivial forking.
Mathematics Subject Classification ID: 03C45
Mathematics Subject Classification ID: 03C30
zbMATH DE Number: 6083818
zbMATH Keywords: amalgamation construction
zbMATH Keywords: generic structure
zbMATH Keywords: superstable structure
MaRDI profile type: Publication
full work available at URL: s00153-012-0284-9
OpenAlex ID: W2160408939
cites work: Q4288797
cites work: Stable generic structures
cites work: A new strongly minimal set
cites work: Ab initio generic structures which are superstable but not \(\omega \)-stable
cites work: On generic structures with a strong amalgamation property
cites work: Q4309356
DOI: 10.1007/S00153-012-0284-9
description: scientific article; zbMATH DE number 6083818