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 …

Let R be an associative ring. This monograph deals with the right R-modules MR whose
endomorphism ring End (MR) is semilocal. More generally, let A be any preadditive …

One Dimensional Tilting Modules are of Finite Type Page 1 Algebr Represent Theor (2008)
11:43–61 DOI 10.1007/s10468-007-9064-3 One Dimensional Tilting Modules are of Finite …

Recentely, Anderson and Dumitrescu's $ S $-finiteness has attracted the interest of several
authors. In this paper, we introduce the notions of $ S $-finitely presented modules and then …

For any ring $ R $, we introduce an invariant in the form of a partially ordered abelian
semigroup $\mathrm {S}(R) $ built from an equivalence relation on the class of countably …

Let C be a class of modules and L= lim→ C the class of all direct limits of modules from C.
The class L is well understood when C consists of finitely presented modules: L then enjoys …

Let $\mathcal C $ be a class of modules over a ring $ R $, closed under direct sums over
index sets of cardinality $\kappa $ and isomorphisms, and such that the isomorphism …

We make a detailed study of idempotent ideals that are traces of countably generated
projective right modules. We associate to such ideals an ascending chain of finitely …

We investigate a condition on particular chains of ideals that allows us to determine
properties of infinitely generated modules over noetherian rings. The results apply to …

CLASSIFYING PROJECTIVE MODULES OVER SOME SEMILOCAL RINGS Page 1 September
12, 2007 10:10 WSPC/171-JAA 00252 Journal of Algebra and Its Applications Vol. 6, No. 5 …