\textit{LD}-stability for Goldie rings
DOI10.1016/j.jpaa.2021.106741zbMath1492.16021arXiv2004.06197OpenAlexW3137416158MaRDI QIDQ2031538
João Fernando Schwarz, Vyacheslav M. Futorny, Ivan Pavlovic Shestakov
Publication date: 9 June 2021
Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2004.06197
Gelfand-Kirillov dimensiondivision algebrasGelfand-Kirillov transcendence degreelower transcendence degree
Actions of groups and semigroups; invariant theory (associative rings and algebras) (16W22) Growth rate, Gelfand-Kirillov dimension (16P90) Graded rings and modules (associative rings and algebras) (16W50) Ore rings, multiplicative sets, Ore localization (16U20) Localization and associative Noetherian rings (16P50)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Handbook of algebra. Volume 4
- Classifying orders in the Sklyanin algebra
- Galois orders in skew monoid rings.
- Dimensions of division rings
- A dimension theorem for division rings
- Fixed rings of finite automorphism groups of associative rings
- Über die Gelfand-Kirillov-Dimension. (On the Gelfand-Kirillov-dimension)
- Transcendental division algebras and simple Noetherian rings
- Normal radicals and normal classes of rings
- On lower transcendence degree
- Lectures on algebraic quantum groups
- Symplectic reflection algebras, Calogero-Moser space, and deformed Harish-Chandra homomorphism.
- Quiver generalized Weyl algebras, skew category algebras and diskew polynomial rings
- Transcendence degree of division algebras.
- Algebras of invariant differential operators
- Solution of a \(q\)-difference Noether problem and the quantum Gelfand-Kirillov conjecture for \(\mathfrak{gl}_N\)
- The Gelfand-Kirillov conjecture and Gelfand-Tsetlin modules for finite \(W\)-algebras
- Noncommutative curves and noncommutative surfaces
- 量子包络代数Uq(An)的Gelfand-Kirillov维数
- Fibers of characters in Gelfand-Tsetlin categories
- On the transcendence degree of group algebras of nilpotent groups
- Stratiform Simple Artinian Rings
- The Differential Operator Ring of an Affine Curve
- Krull dimension of noetherian algebras and extensions of the base field
- Gelfand-Kirillov dimension of multi-filtered algebras
- Invariants du corps de weyl sous l'action de groupes finis
- On Gelfand-Kirillov Transcendence Degree
- REPRESENTATIONS OF GALOIS ALGEBRAS
- Gelfand–Kirillov dimension of generalized Weyl algebras (In memory of Guenter Rudolf Krause (1941–2015))
- HOMOLOGICAL TRANSCENDENCE DEGREE
- Galois subrings of Ore domains are Ore domains
This page was built for publication: \textit{LD}-stability for Goldie rings