Zobrazeno 1 - 10
of 14
pro vyhledávání: '"Ayhan Günaydin"'
We establish the choice property, a weak analogue of definable choice, for certain tame expansions of o‐minimal structures. Most noteworthily, this property holds for dense pairs of real closed fields, as well as for expansions of o‐minimal struc
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::17b3b0f3a92c91023ab5e9ce36ace347
Autor:
Ayhan Günaydin, Melissa Özsahakyan
Publikováno v:
Annals of Pure and Applied Logic. 173:103062
We study the model theoretic structure $(\Z,+,P_r)$ where $r>1$ is an irrational number and the elements of $P_r$ are of the form $\floor{nr}$ for some $n\in\Z\setminus\{0\}$. We axiomatize of this structure and prove a quantifier elimination result.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::94abbfe6e62233331b672c4baa20a66b
https://doi.org/10.1016/j.apal.2021.103062
https://doi.org/10.1016/j.apal.2021.103062
Autor:
Ayhan Günaydin
Publikováno v:
International Journal of Number Theory. :1391-1399
We give a description of solutions of polynomial-exponential equations where the variables vary over rational numbers. Using this, we also prove a finiteness result.
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7b45ff8315ca1b98213e502427fae039
https://doi.org/10.1142/s1793042112500820
https://doi.org/10.1142/s1793042112500820
Autor:
Ayhan Günaydin, Lou van den Dries
Publikováno v:
Communications in Algebra. 39:2752-2763
Consider structures (Ω, k, Γ) where Ω is an algebraically closed field of characteristic zero, k is a subfield, and Γ is a subgroup of the multiplicative group of Ω. Certain pairs (k, Γ) have been singled out as Mann pairs in [4]. We give new e
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d80e2b6e7bffeacb9f944c4943c4a5ad
https://doi.org/10.1080/00927872.2010.489919
https://doi.org/10.1080/00927872.2010.489919
We study sets and groups definable in tame expansions of o-minimal structures. Let $$\widetilde{\cal M} = \left\langle {{\cal M},P} \right\rangle $$ be an expansion of an o-minimal $${\cal L}$$ -structure ℳ by a dense set P. We impose three tamenes
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9d3d52ab7ab8452460b65b27a963a8bd
Autor:
Lou van den Dries, Ayhan Günaydin
Publikováno v:
Proceedings of the London Mathematical Society. 93:43-81
We consider the model theory of the real and complex fields with a multiplicative group having the Mann property. Among these groups are the finitely generated multiplicative groups in these fields. As a by-product we obtain some results on groups wi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::67ca665ff3ec44b619c592f3ff4f97f5
https://doi.org/10.1017/s0024611506015747
https://doi.org/10.1017/s0024611506015747
Autor:
Ayhan Günaydin, Philipp Hieronymi
Publikováno v:
J. Symbolic Logic 76, iss. 2 (2011), 377-390
We prove that certain pairs of ordered structures are dependent. Among these structures are dense and tame pairs of o-minimal structures and further the real field with a multiplicative subgroup with the Mann property, regardless of whether it is den
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::dbcd63be28766128bc21860af39868ee
http://projecteuclid.org/euclid.jsl/1305810753
http://projecteuclid.org/euclid.jsl/1305810753
Autor:
Philipp Hieronymi, Ayhan Günaydin
We consider the expansion of the real field by the group of rational points of an elliptic curve over the rational numbers. We prove a completeness result, followed by a quantifier elimination result. Moreover we show that open sets definable in that
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9382b2f61f6118c2b72f72af390605c9
We characterize þ-independence in a variety of structures, focusing on the field of real numbers expanded by predicate defining a dense multiplicative subgroup, G , satisfying the Mann property and whose p th powers are of finite index in G . We als
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::811a643e4eb4591d95fe084618ee933b
http://arxiv.org/abs/0706.3950
http://arxiv.org/abs/0706.3950
Autor:
Ayhan Günaydin, Lou van den Dries
Publikováno v:
Transactions of the American Mathematical Society. 363:5057-5057
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::60557480f60b2022a18bcb69e41b877c
https://doi.org/10.1090/s0002-9947-2011-05528-5
https://doi.org/10.1090/s0002-9947-2011-05528-5