Zobrazeno 1 - 10
of 36
pro vyhledávání: '"E. A. Palyutin"'
Publikováno v:
Russian Mathematics. 62:1-12
We describe algebras of distributions of binary isolating formulas for theories of abelian groups and some of their ordered enrichments. The base of this description is the general theory of algebras of isolating formulas. We also take into account t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::35067185264ea1bf89f4d9203cdaaebe
https://doi.org/10.3103/s1066369x18040011
https://doi.org/10.3103/s1066369x18040011
Autor:
E. A. Palyutin
Publikováno v:
Algebra and Logic. 55:407-411
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::30523906e1eaa8d0504cfb1f713c69dd
https://doi.org/10.1007/s10469-016-9413-6
https://doi.org/10.1007/s10469-016-9413-6
Autor:
E. A. Palyutin
Publikováno v:
Algebra and Logic. 54:296-315
We give a complete description of Abelian groups that are totally P-stable for the following four natural types of subgroups: arbitrary subgroups, pure subgroups, elementary subsystems, and algebraically closed subgroups.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9fa29cd484aa35350b51605c8ec419d5
https://doi.org/10.1007/s10469-015-9350-9
https://doi.org/10.1007/s10469-015-9350-9
Autor:
E. A. Palyutin
Publikováno v:
Algebra and Logic. 54:183-187
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8272ea09c20db9e3b3dea95912c77374
https://doi.org/10.1007/s10469-015-9337-6
https://doi.org/10.1007/s10469-015-9337-6
Autor:
E. A. Palyutin
Publikováno v:
Algebra and Logic. 53:140-165
We consider four types of subgroups of Abelian groups: arbitrary subgroups (s-subgroups), algebraically closed subgroups (a-subgroups), pure subgroups (p-subgroups), and elementary subgroups (e-subgroups). A language L(X) is an extension of a languag
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b03f515a4854d4ccd155f0d5b24da07a
https://doi.org/10.1007/s10469-014-9278-5
https://doi.org/10.1007/s10469-014-9278-5
Autor:
E. A. Palyutin
Publikováno v:
Algebra and Logic. 52:404-421
(P, a)-stable and (P, s)-stable Abelian groups are described. It is also proved that every Abelian group is (P, p)-stable. In particular, results due to M. A. Rusaleev [6] and T. A. Nurmagambetov [7] derive from these.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::18fa6f7de378e5f6e041ba50e571e870
https://doi.org/10.1007/s10469-013-9253-6
https://doi.org/10.1007/s10469-013-9253-6
Autor:
E. A. Palyutin
Publikováno v:
Siberian Mathematical Journal. 52:1056-1064
We study connection between categorical Horn theories and modules. We show that each function enrichment of any abelian group to a primitive normal structure is primitively equivalent to some module. We give a description for the categorical Horn cla
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b08c97372e9e15573229fee6284c0a85
https://doi.org/10.1134/s0037446611060103
https://doi.org/10.1134/s0037446611060103
Autor:
E. A. Palyutin
Publikováno v:
Algebra and Logic. 49:526-538
We come up with a quite efficient characterization of uncountably categorical Horn classes, which, in particular, implies that the classes in question are model complete. It is also worth mentioning the following results: quantifier elimination down
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0ad89d8bfcab9bd9faf5058a722bdc57
https://doi.org/10.1007/s10469-011-9115-z
https://doi.org/10.1007/s10469-011-9115-z
Autor:
E. A. Palyutin
Publikováno v:
Journal of Mathematical Sciences. 167:825-840
The basic result of the work is the theorem that if an axiomatizable class K of structures is closed under reduced powers by the Frechet filter and it has a stable noncommutative theory, then the class of all graphs is interpretable in the class K.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::280371f74461abe2bb098407744e0a32
https://doi.org/10.1007/s10958-010-9963-4
https://doi.org/10.1007/s10958-010-9963-4
Autor:
E. A. Palyutin
Publikováno v:
Algebra and Logic. 44:326-335
A question is studied as to which properties (classes) of elementary theories can be defined via generalized stability. We present a topological account of such classes. It is stated that some well-known classes of theories, such as strongly minimal,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d9df5c9ba0e4b759d5e8e50023fb5038
https://doi.org/10.1007/s10469-005-0031-y
https://doi.org/10.1007/s10469-005-0031-y