Weak normalization in graded extensions and weak subintegral closure of ideals

DOI10.1016/j.jpaa.2019.06.007zbMath1420.13017OpenAlexW2953252204MaRDI QIDQ2318412

Cătălin Ciupercă

Publication date: 15 August 2019

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2019.06.007

zbMATH Keywords

weak normalizationRees algebraweakly subintegral extensiondiagonal subalgebraweak subintegral closure of an idealVeronese subring

Mathematics Subject Classification ID

Integral closure of commutative rings and ideals (13B22) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Weak subintegral closure of ideals
• Reductions and special parts of closures
• Seminormal graded rings and weakly normal projective varieties
• The weak subintegral closure of an ideal
• Weak normality and seminormality
• Seminormal rings and weakly normal varieties
• Corrections to “Seminormal rings and weakly normal varieties”
• Some properties of weakly normal varieties
• Continuous closure, axes closure, and natural closure
• Introduction
• On seminormality
• On weak subintegrality