A class of rings which are the endomorphism rings of some torsion-free abelian groups
Adalberto Orsatti (1969)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Displaying similar documents to “Matrix representation of torsion-free rings”
A class of rings which are the endomorphism rings of some torsion-free abelian groups
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The aim of this paper is to establish the close connection between prime ideals and torsion theories in a non necessarily commutative noetherian ring. We introduce a new definition of support of a module and characterize some kinds of torsion theories in terms of prime ideals. Using the machinery introduced before, we prove a version of the Mayer-Vietoris Theorem for local cohomology and establish a relationship between the classical dimension and the vanishing of the groups of local...