Geodesic
Three Topological Properties from Noetherian Rings
Canadian journal of mathematics, Tome 34 (1982) no. 3, pp. 525-534

Voir la notice de l'article provenant de la source Cambridge University Press

The purpose of this paper is to study three concepts that deal with the topologies on ideals of commutative integral domains. We call a domain R prime-injective if for each torsion free R-module M, and all non-zero prime ideals commutes implies that M is injective. From [6, Theorem 1 and the technique of Example 6] this is equivalent to all non-zero ideals of R being open in the topology defined by finite products of non-zero prime ideals as a base of neighborhoods around zero.A domain is strongly prime-injective if for each (torsion theory) topology and for φ the set of primes in , φ-injective implies -injective for torsion free modules (see [6, 8] for notation). As in the prime-injective case, this is equivalent to being the topology generated by φ for all topologies . 
Johnson, Jon L. Three Topological Properties from Noetherian Rings. Canadian journal of mathematics, Tome 34 (1982) no. 3, pp. 525-534. doi: 10.4153/CJM-1982-037-5
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