TWO-GENERATED IDEALS OF LINEAR TYPE

@inproceedings{Kulosman2009TWOGENERATEDIO,
  title={TWO-GENERATED IDEALS OF LINEAR TYPE},
  author={Hamid Kulosman},
  year={2009}
}
We show that in a local S1 ring every two-generated ideal of linear type can be generated by a two-element sequence of linear type and give an exam- ple which illustrates that the S1 condition is essential. We also show that every Noetherian local ring in which every two-element sequence is of linear type is an in- tegrally 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… CONTINUE READING

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