English

Homogeneous prime elements in normal two-dimensional graded rings

Commutative Algebra 2018-08-07 v2

Abstract

We prove necessary and sufficient conditions for the existence of homogeneous prime elements in normal N-graded rings of dimension two, in terms of rational coefficient Weil divisors on projective curves.

Keywords

Cite

@article{arxiv.1807.02738,
  title  = {Homogeneous prime elements in normal two-dimensional graded rings},
  author = {Anurag K. Singh and Ryo Takahashi and Kei-ichi Watanabe},
  journal= {arXiv preprint arXiv:1807.02738},
  year   = {2018}
}
R2 v1 2026-06-23T02:53:48.483Z