English

Matijevic-Roberts type theorems, Rees rings and associated graded rings

Commutative Algebra 2025-02-18 v2

Abstract

The aim of this article is to investigate interrelated structures lying among three notable problems in commutative algebra. These are Lifting problem, Ascent/descent along associated graded rings, and Matijevic-Roberts type problem.

Keywords

Cite

@article{arxiv.2312.05477,
  title  = {Matijevic-Roberts type theorems, Rees rings and associated graded rings},
  author = {Jun Horiuchi and Kazuma Shimomoto},
  journal= {arXiv preprint arXiv:2312.05477},
  year   = {2025}
}

Comments

Final version; accepted by Mathematical Journal of Okayama University

R2 v1 2026-06-28T13:45:44.847Z