Modules over prime Krull rings

DOI10.1016/0021-8693(85)90107-3zbMath0568.16004OpenAlexW2045353769MaRDI QIDQ1060268

J. Toby Stafford

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1016/0021-8693(85)90107-3

zbMATH Keywords

ascending chain conditionmaximal ordersimple Noetherian ringsfinitely generated torsion moduleprime Goldie ringprime Krull ringsimple Artinian quotient ringsubmodule of a cyclic moduletorsion-less R-module of finite rank

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Generalizations of commutativity (associative rings and algebras) (16U80) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Other classes of modules and ideals in associative algebras (16D80) Chain conditions on annihilators and summands: Goldie-type conditions (16P60)

Related Items (2)

Unique factorisation rings ⋮ When rings of differential operators are maximal orders

Cites Work

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• Anneaux de Krull non commutatifs
• Matrices and pairs of modules
• Left principal ideal rings
• Noetherian Full Quotient Rings
• Asano Orders

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