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

arXiv:2312.05477

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.

Final version; accepted by Mathematical Journal of Okayama University

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