-clean rings.
Periodic rings with commuting nilpotents.
Periodic rings with finitely generated underlying group.
Phantom maps and purity in modular representation theory, I
Let k be a field and G a finite group. By analogy with the theory of phantom maps in topology, a map f : M → ℕ between kG-modules is said to be phantom if its restriction to every finitely generated submodule of M factors through a projective module. We investigate the relationships between the theory of phantom maps, the algebraic theory of purity, and Rickard's idempotent modules. In general, adding one to the pure global dimension of kG gives an upper bound for the number of phantoms we need...
Preprojective Components of Wild Tilted Algebras.
Preradicals
Preradicals and change of rings
Primary decomposition of torsion -modules.
Prime modules.
Primitive Ideals of Certain Noetherian Algebras.
Products of small modules
Module is said to be small if it is not a union of strictly increasing infinite countable chain of submodules. We show that the class of all small modules over self-injective purely infinite ring is closed under direct products whenever there exists no strongly inaccessible cardinal.
Projektive Moduln mit endlich erzeugtem Radialfaktormodul.
Properties of slender rings.
Propriétés d'unicité des supplémentaires
Pure Baer injective modules.
Purity and direct summands.