The structure of modules over polycyclic groups-Reference-Cited by-同舟云学术

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The structure of modules over polycyclic groups

Published:1981-03 Issue:2 Volume:89 Page:257-283
ISSN:0305-0041
Container-title:Mathematical Proceedings of the Cambridge Philosophical Society
language:en
Short-container-title:Math. Proc. Camb. Phil. Soc.

Author:

Brown Kenneth A.

Abstract

AbstractThe structure of modules over polycyclic group rings RG is investigated using the idea of a link P ⇝ Q between prime ideals of RG. The representation theory of RG splits into two parts – the part we discuss is determined by the representation theory of certain Noetherian polynomial identity factor rings of subrings of RG.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference24 articles.

1. K-theory and stable structure of some Noetherian group rings;Brown;Proc. London Math. Soc

2. Quotient Rings of Group Rings

3. On the Residual Simplicity of Certain Modules

4. A Note on the Artin-Rees Property of certain Polycyclic Group Algebras

5. On the ring of quotients of a group ring

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1. On the catenarity of virtually nilpotent mod-p Iwasawa algebras;Israel Journal of Mathematics;2020-06-05

2. A homological reformulation of the link condition;Journal of Algebra;2013-11

3. MONOLITHIC MODULES OVER NOETHERIAN RINGS;Glasgow Mathematical Journal;2011-08-01

4. Injective modules and representational repleteness;Communications in Algebra;1998-01

5. Prime links in some skew-polynomial and skew-laurent rings;Communications in Algebra;1997-01

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