This book has two predominant objectives. On the one hand, the fundamental concepts of
the theory of modules and rings are presented, for which the presentation is set out in detail …

Extending modules are generalizations of injective modules and, dually, lifting modules
generalize projective supplemented modules. There is a certain asymmetry in this duality …

Ein Modul M heil3t komplementiert, wenn es zu jedem Untermodul C von M ein additives
Komplement in Al gibt, dh ein minimales Element in der Menge {T 1 TC M und T+ Li= fW> …

Mit diesem Buch werden vor allem zwei Ziele angestrebt. Einmal sollen die Grundbegriffe
der Theorie der Moduln und Ringe dargestellt werden. Dabei ist die Darstellung so …

Let R be a ring with prime radical P. The main theorems of this paper are (1) The following
conditions are equivalent.: 1) R is a commutative ring in which every element is the sum of …

This dissertation reviews attempts of dualizing the Goldie dimension. Moreover we choose
one of these attempts as the dualization of Goldie dimension and study modules with this …

Recently in his study of QF-2 rings, M. Harada has introduced the extending property of
simple modules and the lifting property of simple modules which are mutually dual notions …

Let M be an Λ-module and Jl a subfamily of the family X (M) of all submodules of M. M is said
to have the extending property of modules for< Jl provided that, for any A in< Jly there exists …

The object of this paper is to study the relationship between the module which is a sum of
hollow modules and the supplement of the module. Supplemented modules were first …

\S 0. Introduction..... 114\S 1. Galois extension and normal basis. 115\S 2. The first
characterization of fixed-subrings. 118\S 3. The second characterization of fixed-subrings …