This volume provides a comprehensive introduction to module theory and the related part of
ring theory, including original results as well as the most recent work. It is a useful and …

It is possible to associate a topological space to the category of modules over any ring. This
space, the Ziegler spectrum, is based on the indecomposable pure-injective modules …

The main theme in classical ring theory is the structure theory of rings of a particular kind.
For example, no one text book in ring theory could miss the Wedderburn-Artin theorem …

A search for gaugino pair production with a trilepton signature in the framework of R-parity
violating supersymmetry via the couplings λ121, λ122, or λ133 is presented. The data …

It is proven that every commutative ring whose RD-injective modules are Σ-RD-injective is
the product of a pure semisimple ring and a finite ring. A complete characterization of …

Let R be a valuation ring and let Q be its total quotient ring. It is proved that any singly
projective (respectively flat) module is finitely projective if and only if Q is maximal …

We use the Drozd-Warfield structure theorem for finitely presented modules over a serial
ring to investigate the model theory of modules over a serial ring, in particular, to give a …

We prove that for a commutative integral domain R the following conditions are
equivalent:(a) R is a Prüfer domain with no non-zero idempotent prime ideals;(b) there is a …

Decidability of the theory of modules over commutative valuation domains Page 1 Annals of
Pure and Applied Logic 145 (2007) 258–275 www.elsevier.com/locate/apal Decidability of the …

The aim of this paper is to describe an equivalence between the full subcategory of Mod-R
whose objects are all the divisible modules over an integral domain R and a suitable full …