Mathematical Journal of Okayama University 68巻 1号
2026-01 発行
Matijevic-Roberts type theorems, Rees rings and associated graded rings
Horiuchi, Jun
Department of Mathematics, Nippon Institute of Technology
Shimomoto, Kazuma
Department of Mathematics, Institute of Science Tokyo
Publication Date
2026-01
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
Associated graded ring
integral closure
Rees ring
seminormality
weak normality
Comments
Mathematics Subject Classification. Primary 13A02; Secondary 13A30, 13F45, 13E05.
ISSN
0030-1566
NCID
AA00723502
