Almost quasi-Urbanik structures and theories
The notions of almost quasi-Urbanik structures and theories, and studied possibilities for the degrees of quasi-Urbanikness, both for existential and universal cases were introduced. Links of these characteristics and their possible values are described. These values for structures of unary predica...
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| Format: | Article |
| Language: | English |
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Academician Ye.A. Buketov Karaganda University
2025-03-01
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| Series: | Қарағанды университетінің хабаршысы. Математика сериясы |
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| Online Access: | https://mts.buketov.edu.kz/index.php/mathematics-vestnik/article/view/781 |
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| author | B.Sh. Kulpeshov S.V. Sudoplatov |
| author_facet | B.Sh. Kulpeshov S.V. Sudoplatov |
| author_sort | B.Sh. Kulpeshov |
| collection | DOAJ |
| description |
The notions of almost quasi-Urbanik structures and theories, and studied possibilities for the degrees of quasi-Urbanikness, both for existential and universal cases were introduced. Links of these characteristics and their possible values are described. These values for structures of unary predicates, equivalence relations, linearly ordered, preordered and spherically ordered structures and theories as well as for strongly minimal ones, and for some natural operations including disjoint unions and compositions of structures and theories were studied. A series of examples illustrates possibilities of these characteristics.
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| format | Article |
| id | doaj-art-3c5ede32a56f4dfdb9192a493d6597f1 |
| institution | Kabale University |
| issn | 2518-7929 2663-5011 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | Academician Ye.A. Buketov Karaganda University |
| record_format | Article |
| series | Қарағанды университетінің хабаршысы. Математика сериясы |
| spelling | doaj-art-3c5ede32a56f4dfdb9192a493d6597f12025-08-20T03:42:18ZengAcademician Ye.A. Buketov Karaganda UniversityҚарағанды университетінің хабаршысы. Математика сериясы2518-79292663-50112025-03-01117110.31489/2025m1/104-117Almost quasi-Urbanik structures and theoriesB.Sh. Kulpeshov0https://orcid.org/0000-0002-4242-0463S.V. Sudoplatov1https://orcid.org/0000-0002-3268-9389Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan; Kazakh British Technical University, Almaty, KazakhstanSobolev Institute of Mathematics, Novosibirsk, Russia The notions of almost quasi-Urbanik structures and theories, and studied possibilities for the degrees of quasi-Urbanikness, both for existential and universal cases were introduced. Links of these characteristics and their possible values are described. These values for structures of unary predicates, equivalence relations, linearly ordered, preordered and spherically ordered structures and theories as well as for strongly minimal ones, and for some natural operations including disjoint unions and compositions of structures and theories were studied. A series of examples illustrates possibilities of these characteristics. https://mts.buketov.edu.kz/index.php/mathematics-vestnik/article/view/781almost quasi-Urbanik structurealmost quasi-Urbanik theorydegree of quasi-Urbanikness |
| spellingShingle | B.Sh. Kulpeshov S.V. Sudoplatov Almost quasi-Urbanik structures and theories Қарағанды университетінің хабаршысы. Математика сериясы almost quasi-Urbanik structure almost quasi-Urbanik theory degree of quasi-Urbanikness |
| title | Almost quasi-Urbanik structures and theories |
| title_full | Almost quasi-Urbanik structures and theories |
| title_fullStr | Almost quasi-Urbanik structures and theories |
| title_full_unstemmed | Almost quasi-Urbanik structures and theories |
| title_short | Almost quasi-Urbanik structures and theories |
| title_sort | almost quasi urbanik structures and theories |
| topic | almost quasi-Urbanik structure almost quasi-Urbanik theory degree of quasi-Urbanikness |
| url | https://mts.buketov.edu.kz/index.php/mathematics-vestnik/article/view/781 |
| work_keys_str_mv | AT bshkulpeshov almostquasiurbanikstructuresandtheories AT svsudoplatov almostquasiurbanikstructuresandtheories |