A ring is called quasi-Frobenius if it is right or left selfinjective, and right or left artinian (all
four combinations are equivalent). The study of these rings grew out of the theory of …

This unique and comprehensive volume provides an up-to-date account of the literature on
the subject of determining the structure of rings over which cyclic modules or proper cyclic …

In a recent paper, Alahmadi, Alkan and López–Permouth defined a module M to be poor if M
is injective relative only to semisimple modules, and a ring to have no right middle class if …

Theorems of Osofsky and Kato imply that a right and left self-injective one-sided perfect ring
is quasi-Frobenius (= QF). The corresponding question for one-sided self-injective one or …

In this work we introduce a class of commutative rings whose defining condition is that its
lattice of ideals, augmented with the ideal product, the semi‐ring of ideals, is isomorphic to …

On prime nonprimitive von Neumann regular algebras Page 1 TRANSACTIONS OF THE
AMERICAN MATHEMATICAL SOCIETY Volume 366, Number 5, May 2014, Pages 2375–2392 …

This paper is motivated by a recent work of C. Faith who has proved that a quotient finite
dimensional module which satisfies the ascending chain condition on subdirectly irreducible …

We define representations for downward-closed subsets of a rich family of well-quasi-orders,
and more generally for closed subsets of an even richer family of Noetherian topological …

The formalism of injective stabilization of additive functors is used to define a new notion of
the torsion submodule of a module. It applies to arbitrary modules over arbitrary rings. For …

The aim of these notes is to collect and motivate the basic localization toolbox for the
geometric study of" spaces" locally described by noncommutative rings and their categories …