Abstract | ||
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A homogenizable structure $$\\mathcal {M}$$M is a structure where we may add a finite number of new relational symbols to represent some $$\\emptyset-$$ź-definable relations in order to make the structure homogeneous. In this article we will divide the homogenizable structures into different classes which categorize many known examples and show what makes each class important. We will show that model completeness is vital for the relation between a structure and the amalgamation bases of its age and give a necessary and sufficient condition for an $$\\omega-$$ź-categorical model-complete structure to be homogenizable. |
Year | DOI | Venue |
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2016 | 10.1007/s00153-016-0507-6 | Arch. Math. Log. |
Keywords | Field | DocType |
Homogenizable, Model-complete, Amalgamation class, Quantifier-elimination, Primary 03C10, Secondary 03C50, 03C52 | Quantifier elimination,Discrete mathematics,Finite set,Homogeneous,Completeness (statistics),Mathematics | Journal |
Volume | Issue | ISSN |
55 | 7-8 | 1432-0665 |
Citations | PageRank | References |
1 | 0.41 | 3 |
Authors | ||
1 |
Name | Order | Citations | PageRank |
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Ove Ahlman | 1 | 3 | 1.57 |