Geodesic
RATLIFF–RUSH CLOSURE OF IDEALS IN INTEGRAL DOMAINS
Glasgow mathematical journal, Tome 51 (2009) no. 3, pp. 681-689

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

This paper studies the Ratliff–Rush closure of ideals in integral domains. By definition, the Ratliff–Rush closure of an ideal I of a domain R is the ideal given by Ĩ := ∪(In+1 :R In), and an ideal I is said to be a Ratliff–Rush ideal if Ĩ = I. We completely characterise integrally closed domains in which every ideal is a Ratliff–Rush ideal, and we give a complete description of the Ratliff–Rush closure of an ideal in a valuation domain.
DOI : 10.1017/S0017089509990097
Mots-clés : Primary 13A15, 13A18, 13F05, secondary 13G05, 13F30 
MIMOUNI, A. RATLIFF–RUSH CLOSURE OF IDEALS IN INTEGRAL DOMAINS. Glasgow mathematical journal, Tome 51 (2009) no. 3, pp. 681-689. doi: 10.1017/S0017089509990097
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