Geodesic
Artin Rings with Two-Generated Ideals
Canadian mathematical bulletin, Tome 35 (1992) no. 1, pp. 133-135

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

It is shown that each commutative Artin local ring having each of its ideals generated by two elements is the homomorphic image of a one-dimensional local complete intersection ring which also has each of its ideals generated by two elements. It is indicated how this can be applied to show that the property that each ideal is projective over its endomorphism ring does not pass to homomorphic images, and in determining the commutative group rings with the two-generator property.
DOI : 10.4153/CMB-1992-019-3
Mots-clés : 13A15, 13H10, 13F99. 
Rush, David E. Artin Rings with Two-Generated Ideals. Canadian mathematical bulletin, Tome 35 (1992) no. 1, pp. 133-135. doi: 10.4153/CMB-1992-019-3
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