|
This article is cited in 1 scientific paper (total in 1 paper)
Rank functions for stable diagrams
K. Zh. Kudaĭbergenovab a Department of Economics, KIMEP University, Almaty, 050010 Kazakhstan
b Institute of Mathematics and Mathematical Modeling, Almaty, 050010 Kazakhstan
Abstract:
Let $D$ be the diagram of a sufficiently homogeneous model. For types that are realized in this model, we introduce certain rank functions and prove the following assertions: (1) If, for each type, the rank is less than $\infty$ then the diagram is stable; (2) if the diagram $D$ is stable then the set of non-algebraic types of rank less than $\infty$ is large enough.
Key words:
homogeneous model, rank, stable diagram.
Received: 26.01.2018 Revised: 04.05.2018 Accepted: 23.05.2018
Citation:
K. Zh. Kudaǐbergenov, “Rank functions for stable diagrams”, Mat. Tr., 22:1 (2019), 119–126; Siberian Adv. Math., 30:1 (2020), 21–25
Linking options:
https://www.mathnet.ru/eng/mt350 https://www.mathnet.ru/eng/mt/v22/i1/p119
|
Statistics & downloads: |
Abstract page: | 301 | Full-text PDF : | 55 | References: | 50 | First page: | 9 |
|