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This article is cited in 1 scientific paper (total in 1 paper)
Generic Automorphisms
K. Zh. Kudaibergenov Institute of Mathematics, Ministry of Education and Science, Republic of Kazakhstan
Abstract:
We study generic sequences of automorphisms. For some classes of models (for example, saturated models), we show that every sequence of automorphisms whose length does not exceed the cardinality of the model is the element-wise product of two generic sequences. We also prove that the fixed field of a finite generic sequence of automorphisms of a separably closed field is regularly closed.
Key words:
generic sequence of automorphisms, homogeneous model, separably closed field.
Received: 17.04.2002
Citation:
K. Zh. Kudaibergenov, “Generic Automorphisms”, Mat. Tr., 6:1 (2003), 75–97; Siberian Adv. Math., 14:1 (2004), 47–65
Linking options:
https://www.mathnet.ru/eng/mt85 https://www.mathnet.ru/eng/mt/v6/i1/p75
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Abstract page: | 283 | Full-text PDF : | 84 | References: | 39 | First page: | 1 |
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