On atomic and algebraically prime models obtained by closure of definable sets
This article discusses the properties of atomic and prime models obtained with the some closure operator given on definable subsets of the semantic model some fixed Jonsson theory. The main result is to obtain the equivalence of the thus defined atomic and prime models, and this coincidence follows...
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| Format: | Article |
| Language: | English |
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Academician Ye.A. Buketov Karaganda University
2021-09-01
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| Series: | Қарағанды университетінің хабаршысы. Математика сериясы |
| Subjects: | |
| Online Access: | http://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/480 |
| _version_ | 1797372690898616320 |
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| author | A.R. Yeshkeyev A.K. Issayeva N.K. Shamatayeva |
| author_facet | A.R. Yeshkeyev A.K. Issayeva N.K. Shamatayeva |
| author_sort | A.R. Yeshkeyev |
| collection | DOAJ |
| description |
This article discusses the properties of atomic and prime models obtained with the some closure operator given on definable subsets of the semantic model some fixed Jonsson theory. The main result is to obtain the equivalence of the thus defined atomic and prime models, and this coincidence follows the assumption that there is some model with nice-defined properties.
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| first_indexed | 2024-03-08T18:39:29Z |
| format | Article |
| id | doaj.art-f20435b338444f8c81f5de9527b89734 |
| institution | Directory Open Access Journal |
| issn | 2518-7929 2663-5011 |
| language | English |
| last_indexed | 2024-03-08T18:39:29Z |
| publishDate | 2021-09-01 |
| publisher | Academician Ye.A. Buketov Karaganda University |
| record_format | Article |
| series | Қарағанды университетінің хабаршысы. Математика сериясы |
| spelling | doaj.art-f20435b338444f8c81f5de9527b897342023-12-29T10:19:44ZengAcademician Ye.A. Buketov Karaganda UniversityҚарағанды университетінің хабаршысы. Математика сериясы2518-79292663-50112021-09-01103310.31489/2021m3/124-130On atomic and algebraically prime models obtained by closure of definable setsA.R. YeshkeyevA.K. IssayevaN.K. Shamatayeva This article discusses the properties of atomic and prime models obtained with the some closure operator given on definable subsets of the semantic model some fixed Jonsson theory. The main result is to obtain the equivalence of the thus defined atomic and prime models, and this coincidence follows the assumption that there is some model with nice-defined properties. http://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/480Jonsson theorysemantic modelprime modelatomic modelalgebraically prime modelpregeometry |
| spellingShingle | A.R. Yeshkeyev A.K. Issayeva N.K. Shamatayeva On atomic and algebraically prime models obtained by closure of definable sets Қарағанды университетінің хабаршысы. Математика сериясы Jonsson theory semantic model prime model atomic model algebraically prime model pregeometry |
| title | On atomic and algebraically prime models obtained by closure of definable sets |
| title_full | On atomic and algebraically prime models obtained by closure of definable sets |
| title_fullStr | On atomic and algebraically prime models obtained by closure of definable sets |
| title_full_unstemmed | On atomic and algebraically prime models obtained by closure of definable sets |
| title_short | On atomic and algebraically prime models obtained by closure of definable sets |
| title_sort | on atomic and algebraically prime models obtained by closure of definable sets |
| topic | Jonsson theory semantic model prime model atomic model algebraically prime model pregeometry |
| url | http://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/480 |
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