Geodesic
Two-generated ideals of linear type
Acta mathematica Universitatis Comenianae, Tome 78 (2009) no. 1 
H. Kulosman. Two-generated ideals of linear type. Acta mathematica Universitatis Comenianae, Tome 78 (2009) no. 1. http://geodesic.mathdoc.fr/item/AMUC_2009_78_1_a10/
@article{AMUC_2009_78_1_a10,
     author = {H. Kulosman},
     title = {Two-generated ideals of linear type},
     journal = {Acta mathematica Universitatis Comenianae},
     year = {2009},
     volume = {78},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2009_78_1_a10/}
}
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Voir la notice de l'article provenant de la source Comenius University

We show that in a local S 1 ring every two-generated ideal of linear type can be generated by a two-element sequence of linear type and give an example which illustrates that the S 1 condition is essential. We also show that every Noetherian local ring in which every two-element sequence is of linear type is an integrally closed integral domain and every two generated ideal of it can be generated by a two-element d-sequence. Finally, we investigate two-element c-sequences and characterize them under some mild assumptions.