This introduction to noncommutative noetherian rings is intended to be accessible to anyone
with a basic background in abstract algebra. It can be used as a second-year graduate text …

The concern of this paper is to investigate the structure of skew polynomial rings (Ore
extensions) of the form T= R [θ; σ, δ] where σ and δ are both nontrivial, and in particular to …

This monograph first published in 1986 is a reasonably self-contained account of a large
part of the theory of non-commutative Noetherian rings. The author focuses on two important …

A ring S is strongly π-regular if for every a∈ S there exists n≥ 1 such that an∈ an+ 1S. It is
first shown that the dominion and the maximal epimorphic extension of any ring …

We study primality, hypercentrality, simplicity, and localization and the second layer
condition in skew groups rings and group-graded rings. We give necessary and sufficient …

For a large class of noncornmutative Noetherian rings, there is now a reasonable not. ion of
the localization at a prime ideal. The localized rings, however, are quite unlike local rings …

Affine Noetherian P/-Rings Have Enough Clans Page 1 JOURNAL OF ALGEBRA 97, 116-129
(1985) Affine Noetherian P/-Rings Have Enough Clans BRUNO J. M~JLLER MeMaster …

The idea of duality occurs in many parts of mathematics. Its earliest appearance (some 150
years ago) was in projective geometry where it permitted to halve the number of theorems to …

The purpose of this article is to give a survey of part of what is known about the structure of
the indecomposable injective modules over a Noetherian ring R, to indicate how this …

Let $ R [unk] S $ be an embedding of associative noetherian rings such that $ S $ is finitely
generated as a right $ R $-module. There is a correspondence from the prime spectrum of …