FORKING, IMAGINARIES, AND OTHER FEATURES OF
We study the generic theory of algebraically closed fields of fixed positive characteristic with a predicate for an additive subgroup, called $\mathrm {ACFG}$ . This theory was introduced in [16] as a new example of $\mathrm {NSOP}_{1}$ nonsimple theory. In this paper we describe more features of $\...
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| Veröffentlicht in: | The Journal of symbolic logic 2021-06, Vol.86 (2), p.669-700 |
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| container_title | The Journal of symbolic logic |
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| creator | D’ELBÉE, CHRISTIAN |
| description | We study the generic theory of algebraically closed fields of fixed positive characteristic with a predicate for an additive subgroup, called
$\mathrm {ACFG}$
. This theory was introduced in [16] as a new example of
$\mathrm {NSOP}_{1}$
nonsimple theory. In this paper we describe more features of
$\mathrm {ACFG}$
, such as imaginaries. We also study various independence relations in
$\mathrm {ACFG}$
, such as Kim-independence or forking independence, and describe interactions between them. |
| doi_str_mv | 10.1017/jsl.2021.34 |
| format | Article |
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. This theory was introduced in [16] as a new example of
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nonsimple theory. In this paper we describe more features of
$\mathrm {ACFG}$
, such as imaginaries. We also study various independence relations in
$\mathrm {ACFG}$
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$\mathrm {ACFG}$
. This theory was introduced in [16] as a new example of
$\mathrm {NSOP}_{1}$
nonsimple theory. In this paper we describe more features of
$\mathrm {ACFG}$
, such as imaginaries. We also study various independence relations in
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$\mathrm {ACFG}$
. This theory was introduced in [16] as a new example of
$\mathrm {NSOP}_{1}$
nonsimple theory. In this paper we describe more features of
$\mathrm {ACFG}$
, such as imaginaries. We also study various independence relations in
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| fulltext | fulltext |
| identifier | ISSN: 0022-4812 |
| ispartof | The Journal of symbolic logic, 2021-06, Vol.86 (2), p.669-700 |
| issn | 0022-4812 1943-5886 |
| language | eng |
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| source | Cambridge Journals |
| title | FORKING, IMAGINARIES, AND OTHER FEATURES OF |
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