- New
-
Topics
- All Categories
- Metaphysics and Epistemology
- Value Theory
- Science, Logic, and Mathematics
- Science, Logic, and Mathematics
- Logic and Philosophy of Logic
- Philosophy of Biology
- Philosophy of Cognitive Science
- Philosophy of Computing and Information
- Philosophy of Mathematics
- Philosophy of Physical Science
- Philosophy of Social Science
- Philosophy of Probability
- General Philosophy of Science
- Philosophy of Science, Misc
- History of Western Philosophy
- Philosophical Traditions
- Philosophy, Misc
- Other Academic Areas
- Journals
- Submit material
- More
Ω-stability and Morley rank of bilinear maps, rings and nilpotent groups
Journal of Symbolic Logic 82 (2):754-777 (2017)
Abstract
In this paper we study the algebraic structure ofω-stable bilinear maps, arbitrary rings, and nilpotent groups. We will also provide rather complete structure theorems for the above structures in the finite Morley rank case.Other Versions
No versions found
My notes
Similar books and articles
On solvable centerless groups of Morley rank 3.Mark Kelly Davis & Ali Nesin - 1993 - Journal of Symbolic Logic 58 (2):546-556.
Rings of finite Morley rank without the canonical base property.Michael Loesch & Daniel Palacín - 2025 - Journal of Mathematical Logic 25 (2).
Rings of finite Morley rank without the canonical base property.Michael Loesch & Daniel Palacín - 2024 - Journal of Mathematical Logic 25 (2).
Simple Groups of Morley Rank 5 Are Bad.Adrien Deloro & Joshua Wiscons - 2018 - Journal of Symbolic Logic 83 (3):1217-1228.
Some local properties of ω-stable groups.Katsumi Tanaka - 1988 - Archive for Mathematical Logic 27 (1):45-47.
Bad groups of finite Morley rank.Luis Jaime Corredor - 1989 - Journal of Symbolic Logic 54 (3):768-773.
Groups elementarily equivalent to a free nilpotent group of finite rank.Alexei G. Myasnikov & Mahmood Sohrabi - 2011 - Annals of Pure and Applied Logic 162 (11):916-933.
The geometry of forking and groups of finite Morley rank.Anand Pillay - 1995 - Journal of Symbolic Logic 60 (4):1251-1259.
On ω-categorical, generically stable groups and rings.Jan Dobrowolski & Krzysztof Krupiński - 2013 - Annals of Pure and Applied Logic 164 (7-8):802-812.
Sous-groupes de Carter dans les groupes de rang de Morley fini.Olivier Frécon - 2004 - Journal of Symbolic Logic 69 (1):23-33.
Analytics
Added to PP
2017-06-20
Downloads
42 (#1,335,008)
6 months
9 (#1,248,116)
2017-06-20
Downloads
42 (#1,335,008)
6 months
9 (#1,248,116)
Historical graph of downloads
References found in this work
Conjugacy of Carter subgroups in groups of finite Morley rank.Olivier Frécon - 2008 - Journal of Mathematical Logic 8 (1):41-92.
Groups elementarily equivalent to a free nilpotent group of finite rank.Alexei G. Myasnikov & Mahmood Sohrabi - 2011 - Annals of Pure and Applied Logic 162 (11):916-933.
Categoricity and stability of commutative rings.Gregory L. Cherlin - 1976 - Annals of Mathematical Logic 9 (4):367.
Try MATCHA Writer if you're interested in citing directly from PhilPapers and certifying your authorship.
This site uses cookies and Google Analytics (see our terms & conditions for details regarding the privacy implications). Use of this site is subject to terms & conditions.
All rights reserved by The PhilPapers Foundation