Module theory is an important tool for many different branches of mathematics, as well as
being an interesting subject in its own right. Within module theory, the concept of injective …

A ring R is semiperfect if and only if, for every (cyclic) R-module M, every maximal
submodule has (ample) supplements in M. A non-local commutative domain R is h-local if …

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 …

This book surveys more than 125 years of aspects of associative algebras, especially ring
and module theory. It is the first to probe so extensively such a wealth of historical …

Semiartinian right V-rings, which we call right SV-rings, form a special class of Von
Neumann regular rings. We characterize these rings by the fact that every factor ring imbeds …

A ring R is a right max ring if every right module M≠ 0 has at least one maximal submodule.
It suffices to check for maximal submodules of a single module and its submodules in order …

It is proved that if R is a right FBN ring then a non-zero right R-module M has the property
that HomR (M, N)≠ 0 for every non-zero submodule N of M if and only if HomR (M, R/P)≠ 0 …

Modules Which Satisfy the Radical Formula Page 1 Acta Math. Hungar. 95 (1-2) (2002), 155-167.
MODULES WHICH SATISFY THE RADICAL FORMULA D. PUSAT-YILMAZ (Bolu) and PF …

As a mean to provide intrinsic characterizations of poor modules, the notion of a pauper
module is introduced. A module is a pauper if it is poor and has no proper poor direct …

This work aims to contribute to the study of rings in terms of their simple modules. Vast
research has been done in this direction to investigate rings whose simple modules are all …