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Sibirskii Matematicheskii Zhurnal, 2002, Volume 43, Number 5, Pages 1064–1076
(Mi smj1350)
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This article is cited in 5 scientific papers (total in 6 papers)
Homogeneous models and stable diagrams
K. Zh. Kudaibergenov Institute of Mathematics, Ministry of Education and Science, Republic of Kazakhstan
Abstract:
Some fragment is studied of stability theory in the category of $D$-sets. Conditions are given for existence of $D$-homogeneous models of however large power. A categoricity theorem is proven for the class of $(D,\lambda)$-homogeneous models.
Keywords:
homogeneous model, stability theory, categoricity theorem.
Received: 23.02.2001
Citation:
K. Zh. Kudaibergenov, “Homogeneous models and stable diagrams”, Sibirsk. Mat. Zh., 43:5 (2002), 1064–1076; Siberian Math. J., 43:5 (2002), 858–867
Linking options:
https://www.mathnet.ru/eng/smj1350 https://www.mathnet.ru/eng/smj/v43/i5/p1064
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Abstract page: | 190 | Full-text PDF : | 70 |
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