Critical series over stable noetherian rings with applications to prime principal right ideal rings

DOI10.1080/00927878508823174zbMath0563.16017OpenAlexW2023747080MaRDI QIDQ3676293

Jay Shapiro

Publication date: 1985

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927878508823174

zbMATH Keywords

regular elementsfinitely generated moduleprime elementsprincipal right ideal ringstorsion theorycritical modulebasic seriesquasiprime elementsreduced primary seriesright stable, right Noetherian ringsseries of submodulesstable PRI-domainsstable prime PRI-ring

Mathematics Subject Classification ID

Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Divisibility, noncommutative UFDs (16U30) Noetherian rings and modules (associative rings and algebras) (16P40)

Related Items (1)

Even a euclidean ring need not be an H-ring

Cites Work

• Unnamed Item
• Jacobson's conjecture and modules over fully bounded Noetherian rings
• Left principal ideal domains
• Modules TTK-critiques et notions connexes
• On consequences of stability

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