On clean, weakly clean and feebly clean commutative group rings

DOI10.1142/S0219498822500852zbMath1496.16026arXiv2012.15509OpenAlexW3116052033MaRDI QIDQ5070886

Qinghai Zhong, Yuan Lin Li

Publication date: 14 April 2022

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.15509

zbMATH Keywords

group ringclean ringring of algebraic integersprimitive root of unitycyclotomic field.

Mathematics Subject Classification ID

Group rings (16S34) Quadratic extensions (11R11) Cyclotomic extensions (11R18)

Cites Work

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• Examples of clean commutative group rings.
• A note on weakly clean rings.
• Neat rings
• Continuous modules are clean.
• Clean group rings over localizations of rings of integers
• Weakly clean rings and almost clean rings
• EXTENSIONS OF CLEAN RINGS
• COMMUTATIVE RINGS WHOSE ELEMENTS ARE A SUM OF A UNIT AND IDEMPOTENT
• Unit Groups of Commutative Group Rings
• STRONGLY CLEAN POWER SERIES RINGS
• Lifting Idempotents and Exchange Rings
• Exchange rings, units and idempotents
• On weakly clean rings
• Commutative feebly clean rings
• Galois theory