Formulas and Properties, Their Links and Characteristics Full article
| Journal |
Mathematics
, E-ISSN: 2227-7390 |
||||
|---|---|---|---|---|---|
| Output data | Year: 2021, Volume: 9, Number: 12, Article number : 1391, Pages count : 16 DOI: 10.3390/math9121391 | ||||
| Tags | formula; property; rank; degree; generic sentence; generic theory | ||||
| Authors |
|
||||
| Affiliations |
|
Abstract:
In this work, we study links between first-order formulas and arbitrary properties for families of theories, classes of structures and their isomorphism types. Possibilities for ranks and degrees for formulas and theories with respect to the given properties are described. Characteristics of generic sentences and generic theories with respect to these properties are described and characterized.
Cite:
Судоплатов С.В.
Formulas and Properties, Their Links and Characteristics
Mathematics. 2021. Т.9. №12. 1391 :1-16. DOI: 10.3390/math9121391 WOS Scopus РИНЦ OpenAlex
Formulas and Properties, Their Links and Characteristics
Mathematics. 2021. Т.9. №12. 1391 :1-16. DOI: 10.3390/math9121391 WOS Scopus РИНЦ OpenAlex
Dates:
| Submitted: | May 26, 2021 |
| Accepted: | Jun 11, 2021 |
| Published online: | Jun 15, 2021 |
Identifiers:
| Web of science: | WOS:000667398500001 |
| Scopus: | 2-s2.0-85108878430 |
| Elibrary: | 46873121 |
| OpenAlex: | W3169254065 |