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 …

We use the concept of dual Goldie dimension and a characterization of semi-local rings due
to Camps and Dicks (1993) to find some classes of modules with semi-local endomorphism …

Page 1 Modern Birkhäuser Classics Alberto Facchini Module Theory Endomorphism rings and
direct sum decompositions in some classes of modules S. Birkhäuser Page 2 US Birkhäuser …

The concept of the Gloldie dimension of a module has been different ways: by Fleury in [2]
and by Varadarajan in [S]. Fleury's of the lattice nature-while the character of Varadarajan's …

It is well-known that a ring R is semiperfect if and only if RR (or RR) is a supplemented
module. Considering weak supplements instead of supplements we show that weakly …

The purpose of this note is to offer a equalization of the concept of Goldie dimension and to
prove a structure theorem (Theorem 3.1) for modules satisfying the conditions of this …

M is called a dimension module if d (A+ B)= d (A)+ d (B)− d (A∩ B) holds for all submodules
A and B of M, where d (M) denotes the Goldie (uniform) dimension of a module M. We …

Let M be an R-module and N⊂ M. Any H⊂ M satisfying H+ N= M……(i) and H′⊂ H, H′+
N= M⇒ H′= H……(ii) will be referred to as a supplement of N in M. In general N need not …

Because traditional ring theory places restrictive hypotheses on all submodules of a module,
its results apply only to small classes of already well understood examples. Often, modules …

Alt the rings we consider will be associative with 1~ 0; all the ring homomorphisms will be
required to preserve the identity elements. All the modules we consider will be unitary …