English Russian
Journal Title
Scientific journal of the
theoretical and applied
researches
The News of Altai State University
Print ISSN 1561-9443
On-line ISSN 1561-9451
Issues list
Content of 1(1) 1996
Biology
Chemistry
Geography
Computer Science
Mathematics
Physics
 
1(1)1996
Mathematics

Previous | Next
 
S.D. Kozlov, S.V. Dronov

On the generating sequences for s-classes and p-classes

Countable unions and intersections of set-definable classes (sd-classes) play an important role in the alternative set theory. They are called s and p-classes respectively. Let AE-formula be true on such a class X. By definition, there exists a generating sequence for X, consisting of sd-classes. Our results give an answer to a question of possibility of construction of this sequence in such a way, that for each member of it a similar formula is true.

Full text at PDF, 105Kb. Language: russian.

Dronov Sergei Vadimovich
Candidate of Sciences (Physics, Mathematics), Assistant Professor of the Chair of Mathematical Analysis, the Altai State University.
Kozlov Sergei Dmitrievich
Candidate of Sciences (Physics, Mathematics), Assistant Professor of the Chair of Algebra and Mathematical Logic, the Altai State University.
Obraztsova Tamara Sergeevna
Junior Lecturer of the Chair of Differential Equations, the Altai State University.
Zhuravlyova E. N.
Post-graduate, the Altai State University .
Algazin Gennadii Ivanovich
Candidate of Sciences (Economics), Assistant Professor of the Chair of Theoretical Cybernetics and Applied Mathematics of the Altai State University.
Print Edition of "The News of Altai State University" © 1996-2010 Altai State University.
All rights reserved. Any of parts of a journal or edition as a whole cannot be reprinted without the written sanction of the authors or publisher. On purchase of a journal to address to ASU publishing house:
Altai State University. 656049, 66 Dimitrova street, Barnaul, Russia. Telephone + 7 (3852) 366351.