Modules over polycyclic groups have many irreducible images
From MaRDI portal
Publication:3915108
DOI10.1017/S0017089500004584zbMath0464.16008OpenAlexW2084485302MaRDI QIDQ3915108
Publication date: 1981
Published in: Glasgow Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s0017089500004584
Jacobson radicalKrull dimensionfinitely generated moduleHirsch numberpolycyclic-by-finite groupcommutative absolutely Hilbert domain
Related Items
Polycyclic group algebras and theorems of Harper and Lichtman, On normal subgroups of multiplicative group of skew fields generated by a polycyclic-by-finite group
Cites Work
- Unnamed Item
- Integral group rings of polycyclic-by-finite groups
- Certaines algèbres de type fini sont des algèbres de Jacobson
- Group rings of polycyclic groups
- K -Theory and Stable Structure of Some Noetherian Group Rings
- A Change of Rings Theorem and the Artin-Rees Property
- A Note on Hypercentral Group Rings
- Localization in Non-Commutative Noetherian Rings
- On the Residual Simplicity of Certain Modules
- Prime Ideals in Group Rings of Polycyclic Groups
- INJECTIVE MODULES FOR GROUP RINGS OF POLYCYCLIC GROUPS II
- Injective Modules and Localization in Noncommutative Noetherian Rings