Omega-categorical pseudofinite groups
D Macpherson, K Tent - arXiv preprint arXiv:2403.17684, 2024 - arxiv.org
We explore the interplay between omega-categoricity and pseudofiniteness for groups,
conjecturing that omega-categorical pseudofinite groups are finite-by-abelian-by-finite. We …
conjecturing that omega-categorical pseudofinite groups are finite-by-abelian-by-finite. We …
On 𝜔-categorical groups and rings with NIP
K Krupiński - Proceedings of the American Mathematical Society, 2012 - ams.org
We prove that $\omega $-categorical rings with NIP are nilpotent-by-finite and that $\omega
$-categorical groups with NIP and fsg are nilpotent-by-finite, too. We give an easy proof that …
$-categorical groups with NIP and fsg are nilpotent-by-finite, too. We give an easy proof that …
On ω-categorical groups and rings of finite burden
J Dobrowolski, FO Wagner - Israel Journal of Mathematics, 2020 - Springer
ON ω-CATEGORICAL GROUPS AND RINGS OF FINITE BURDEN∗ Page 1 ISRAEL JOURNAL
OF MATHEMATICS 236 (2020), 801–839 DOI: 10.1007/s11856-020-1989-9 ON ω-CATEGORICAL …
OF MATHEMATICS 236 (2020), 801–839 DOI: 10.1007/s11856-020-1989-9 ON ω-CATEGORICAL …
Model theory of finite and pseudofinite rings
RI Bello Aguirre - 2016 - etheses.whiterose.ac.uk
The model theory of finite and pseudofinite fields as well as the model theory of finite and
pseudofinite groups have been and are thoroughly studied. A close relation has been found …
pseudofinite groups have been and are thoroughly studied. A close relation has been found …
[HTML][HTML] Locally finite profinite rings
J Dobrowolski, K Krupiński - Journal of Algebra, 2014 - Elsevier
We investigate the structure of locally finite profinite rings. We classify (Jacobson-)
semisimple locally finite profinite rings as products of complete matrix rings of bounded …
semisimple locally finite profinite rings as products of complete matrix rings of bounded …
[PDF][PDF] On\omega-categorical, generically stable groups and rings
J Dobrowolski, K Krupinski - arXiv preprint arXiv:1202.2327, 2012 - arxiv.org
arXiv:1202.2327v1 [math.LO] 10 Feb 2012 On ω-categorical, generically stable groups and
rings Page 1 arXiv:1202.2327v1 [math.LO] 10 Feb 2012 On ω-categorical, generically stable …
rings Page 1 arXiv:1202.2327v1 [math.LO] 10 Feb 2012 On ω-categorical, generically stable …
[PDF][PDF] On inp-minimal omega-categorical groups and rings
FO Wagner, J Dobrowolski - 2018 - hal.science
On inp-minimal omega-categorical groups and rings Page 1 HAL Id: hal-01822386 https://hal.science/hal-01822386v1
Preprint submitted on 25 Jun 2018 (v1), last revised 7 May 2019 (v5) HAL is a multi-disciplinary …
Preprint submitted on 25 Jun 2018 (v1), last revised 7 May 2019 (v5) HAL is a multi-disciplinary …
[引用][C] Grupy i pierścienie w pewnych teoriomodelowych i motywowanych teorią modeli kontekstach
J Dobrowolski