English

Stability in graded rings associated with commutative augmented rings

Commutative Algebra 2020-01-01 v2 Rings and Algebras

Abstract

Let AA be a commutative augmented ring and II be its augmentation ideal. This paper shows that the sequence {In/In+1}\{I^n/I^{n+1}\} becomes stationary up to isomorphism. The result yields stability in the associated graded ring of AA along II.

Keywords

Cite

@article{arxiv.1907.04579,
  title  = {Stability in graded rings associated with commutative augmented rings},
  author = {Shan Chang},
  journal= {arXiv preprint arXiv:1907.04579},
  year   = {2020}
}
R2 v1 2026-06-23T10:17:11.740Z