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Seminar leaders: Professor, Chair of Information Systems J. A. Tussupov,
Associate Professor, Chair of Cryptology, Ye. R. Baisalov
Associate Professor, Chair of Algebra and Geometry, M.I. Bekenov
Associate Professor, Chair of Information Systems, K. Jetpisov
Secretary: Ph.D., Chair of Cryptology, N.D. Markhabatov
L.N. Gumilyov Eurasian National University, st. Kazhymukan 13
29.05.2026, 16.00-18.00 MMF (ЦИСИ) room 305
Ye. R. Baisalov, On pseudofiniteness of uncoutably categorical unbounded unars (continuation)
26.06.2026, 16.00-18.00 MMF (ЦИСИ) room 115
Fazyl Zhebey, Criteria for pseudofiniteness of Abelian groups
This talk will examine criteria for the pseudofiniteness of Abelian groups using Shmelew invariants, which describe their elementary theory. It will also show how an Abelian group can be viewed as a limit object arising from ultraproducts of finite Abelian groups. Particular attention will be paid to which structural properties of finite Abelian groups are preserved when passing to the ultralimit and how they are reflected in the elementary theory. Key examples demonstrating various types of limit behavior of Abelian groups will also be considered.
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