We establish a link between trace modules and rigidity in modules over Noetherian rings.
We identify classes of modules which must have self-extensions and use the theory of trace …

Modules With Unique Closure Relative to a Torsion Theory II Page 1 Turkish Journal of
Mathematics Volume 33 Number 2 Article 2 1-1-2009 Modules With Unique Closure Relative …

We study the problem of when a direct limit of tilting modules is still a tilting module. Tilting
theory first appeared in the context of finitely generated modules over artin algebras [12 …

A module M over a ring R is said to satisfy (P) if every generating set of M contains an
independent generating set. The following results are proved;(1) Let $\tau $=($\mathbb {T} …

Although many results concerning Abelian groups carry over to modules over integral
domains, the situation is more complex in the non-commutative case since there are several …

The celebrated Auslander-Reiten Conjecture, on the vanishing of self extensions of a
module, is one of the longstanding conjectures in ring theory. Although it is still open, there …

We study, over an arbitrary ring R, a class of right modules intermediate between the
projective and the flat content modules. Over the ring of rational integers these modules are …

Full article: A ring with FT-rank two Skip to Main Content Taylor and Francis Online homepage
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Full article: A short proof of the Wedderburn-Artin theorem Skip to Main Content Taylor and
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We describe new classes of noetherian local rings R whose finitely generated modules M
have the property that Tor i R (M, M)= 0 for i≫ 0 implies that M has finite projective …