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pro vyhledávání: '"Moshe Kamensky"'
Autor:
Moshe Kamensky
Publikováno v:
Web of Science
We define and study a higher-dimensional version of model theoretic internality, and relate it to higher-dimensional definable groupoids in the base theory.
32 pages, corrected version after comments from referee. To appear in "Model Theory"
32 pages, corrected version after comments from referee. To appear in "Model Theory"
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e5ac8115d8493ec2f8d4903e9fb89be7
http://arxiv.org/abs/2210.02699
http://arxiv.org/abs/2210.02699
Publikováno v:
Proceedings of the London Mathematical Society. 116:1457-1488
We show that separably closed valued fields of finite imperfection degree (either with lambda-functions or commuting Hasse derivations) eliminate imaginaries in the geometric language. We then use this classification of interpretable sets to study st
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6972672491bab1ee2af0bf73546d09a6
https://doi.org/10.1112/plms.12116
https://doi.org/10.1112/plms.12116
We consider $G$, a linear group defined over $k$, an algebraically closed field. By considering $k$ as an embedded residue field of an algebraically closed valued field $K$, we can associate to it a compact $G$-space $S^\mu_G(k)$, consisting of $\mu$
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::312db1add94f59d2b540f5675e089911
http://arxiv.org/abs/1910.01496
http://arxiv.org/abs/1910.01496
We give algebraic conditions for a finite commutative algebra B B over a field of positive characteristic, which are equivalent to the companionability of the theory of fields with “ B B -operators” (i.e., the operators coming from homomorphisms
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::415058cded59db6a5027adb9ac1dffea
Autor:
Moshe Kamensky
Publikováno v:
Selecta Mathematica. 15:295-341
The motivation for this paper is to extend the known model-theoretic treatment of differential Galois theory to the case of linear difference equations (where the derivative is replaced by an automorphism). The model-theoretic difficulties in this ca
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8d2f26d93dd689333ac66c1f711ca1a6
https://doi.org/10.1007/s00029-009-0530-0
https://doi.org/10.1007/s00029-009-0530-0
Autor:
Anand Pillay, Moshe Kamensky
We give model theoretic accounts and proofs of the existence and uniqueness of differential Galois extensions with no new constants, for logarithmic differential equations over a differential field K, when the field C of constants of K is not necessa
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::313c1ba0a45bc8da08ecdf2ab3a3cc0d
Autor:
Moshe Kamensky
Publikováno v:
International Mathematics Research Notices.
We develop a theory of tensor categories over a field endowed with abstract operators. Our notion of a "field with operators", coming from work of Moosa and Scanlon, includes the familiar cases of differential and difference fields, Hasse-Schmidt der
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a086d4f70605554d7164732dd23c0e20
https://doi.org/10.1093/imrn/rns190
https://doi.org/10.1093/imrn/rns190
Autor:
Moshe Kamensky
Publikováno v:
Scopus-Elsevier
We draw the connection between the model theoretic notions of internality and the binding group on one hand, and the Tannakian formalism on the other. More precisely, we deduce the fundamental results of the Tannakian formalism by associating to a Ta
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::edc79fb1d0a20b0443a71856d445511d
Autor:
Moshe Kamensky
We describe the ind- and pro- categories of the category of definable sets, in some first order theory, in terms of points in a sufficiently saturated model.
Comment: 8 pages; Part of author's phd thesis
Comment: 8 pages; Part of author's phd thesis
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0a6bcf723f3ece1be33235f6fdb532ce
Autor:
Moshe Kamensky
Publikováno v:
J. Symbolic Logic 74, iss. 3 (2009), 734-750
We find the model completion of the theory modules over $A$, where $A$ is a finitely generated commutative algebra over a field $K$. This is done in a context where the field $K$ and the module are represented by sorts in the theory, so that construc
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::da4f99bea77a5aa0c948171d3513b22e