We introduce the concept of quasi-stable ideal in an integral domain D (a nonzero fractional ideal I of D is quasi-stable if it is flat in its endomorphism ring (I : I)) and study properties of domains in which each nonzero fractional ideal is quasi-stable. We investigate some questions about flatness that were raised by S. Glaz and W.V. Vasconcelos in their 1977 paper [17].
Tartarone, F., Picozza, G. (2010). Flat ideals and stability in integral domains. JOURNAL OF ALGEBRA, 324, n. 8, 1790-1802 [{10.1016/j.jalgebra.2010.07.021}].
Flat ideals and stability in integral domains
TARTARONE, FRANCESCA;
2010-01-01
Abstract
We introduce the concept of quasi-stable ideal in an integral domain D (a nonzero fractional ideal I of D is quasi-stable if it is flat in its endomorphism ring (I : I)) and study properties of domains in which each nonzero fractional ideal is quasi-stable. We investigate some questions about flatness that were raised by S. Glaz and W.V. Vasconcelos in their 1977 paper [17].File in questo prodotto:
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