Titlebook: ;

渗透

Hypercentral Groups and Rings,group ring ... Our main aim is to prove Roseblade’s theorems that .. is a hypercentral ring if and only if . is a hypercentral group and that .. is a polycentral ring if and only if . is a finitely generated nilpotent group. We must start by explaining these terms.

ENNUI

Groups Acting on Finitely Generated Commutative Rings,ated by the image of .. Then . is a finitely generated commutative ring and . acts on . by conjugation and normalizes the image of .. We wish to work by induction. It is not sufficient to know about the group rings .(./.).../(.−1).. of ./. and .. of ., say by induction on the Hirsch number. We also

grieve

Corroborate

intellect

无目标

Phase-Transfer Catalysis: Fundamentals II,..All our rings will have an identity and all our modules will be unital. Our modules will sometimes be right, sometimes be left and sometimes have actions on both sides (e.g. bimodules). The following is an analogue of 2.3.

SOW

钢盔

救护车

The Structure of Modules over Polycyclic Groups,In many ways this chapter is the culmination of much of the work we have done in Chaps. 6, 7 and 8. We are especially interested here in the structure of a finitely generated module over a polycyclic group. We then use this information to prove that a finitely generated abelian-by-polycyclic-by-finite group is residually finite.

反复拉紧

Gerd Neumann,Axel Schäfer,Werner Mendlinggroup ring ... Our main aim is to prove Roseblade’s theorems that .. is a hypercentral ring if and only if . is a hypercentral group and that .. is a polycentral ring if and only if . is a finitely generated nilpotent group. We must start by explaining these terms.