This book is an account of a certain portion of noncommutative ring theory which originated
in the work of RE Johnson [113, 115], who introduced nonsingular rings, in 1951, and …

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 …

The Cartan matrix C of a left artinian ring A, with indecomposable projectives P1,…, Pn and
corresponding simples Si= Pi/JPi, is an n× n integral matrix with entries Cij, the number of …

In this work we study the connection between iterated tilted algebras and m-cluster tilted
algebras. We show that an iterated tilted algebra induces an m-cluster tilted algebra. This m …

ABSTRACT In 1968–1969, AV Jategaonkar published his famous constructions of left but
not right noetherian rings that provided counterexamples to several important conjectures of …

We consider m-cluster tilted algebras arising from quivers of Euclidean type and we give
necessary and sufficient conditions for those algebras to be representation finite. For the …

Abstract In 1968–1969, AV Jategaonkar published his famous constructions of left but not
right noetherian rings that provided counterexamples to several important conjectures of that …

Given a (basic) left artinian ring R with Jacobson radical J and primitive idempotents el'...,
en, let Cii be the number of simple composition factors isomorphic to S,= Rei/J e, occurring …

All rings in this paper will have unit element and all (left or right) modules and all
homomorphisms will be unitary. Let A be a ring and let &/A be the category of rings “over” A …

Let R be a ring, and M a bimodule over R. The trivial extension R x M is as abelian group
R@ M and the multiplication is given by (I, m)(r', m')=(rr', rm'+ mr'). Palmer and Roos give in …